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Finding the Fourth Proportional to 1,161.61, 1,742.42 and 430.33

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Solution

The fourth proportional to 1,161.61, 1,742.42 and 430.33 is: 645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.61 : 1,742.42 = 430.33 : x
  2. Step 2: Convert to fraction form
    1,161.61/1,742.42 = 430.33/x
  3. Step 3: Cross multiply
    1,161.61x = 1,742.42 × 430.33
  4. Step 4: Simplify right side
    1,161.61x = 749,815.60
  5. Step 5: Solve for x
    x = 749,815.60/1,161.61
  6. Step 6: Final answer
    x = 645.50

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Double scale
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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.