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Finding the Fourth Proportional to 1,159.36, 1,738.96 and 293.68

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Solution

The fourth proportional to 1,159.36, 1,738.96 and 293.68 is: 440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.36 : 1,738.96 = 293.68 : x
  2. Step 2: Convert to fraction form
    1,159.36/1,738.96 = 293.68/x
  3. Step 3: Cross multiply
    1,159.36x = 1,738.96 × 293.68
  4. Step 4: Simplify right side
    1,159.36x = 510,697.77
  5. Step 5: Solve for x
    x = 510,697.77/1,159.36
  6. Step 6: Final answer
    x = 440.50

Related Problems

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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.