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Finding the Fourth Proportional to 1,161.70, 1,742.55 and 339.98

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Solution

The fourth proportional to 1,161.70, 1,742.55 and 339.98 is: 509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.70 : 1,742.55 = 339.98 : x
  2. Step 2: Convert to fraction form
    1,161.70/1,742.55 = 339.98/x
  3. Step 3: Cross multiply
    1,161.70x = 1,742.55 × 339.98
  4. Step 4: Simplify right side
    1,161.70x = 592,422.16
  5. Step 5: Solve for x
    x = 592,422.16/1,161.70
  6. Step 6: Final answer
    x = 509.96

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.