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Finding the Fourth Proportional to 731.70, 1,098.48 and 525.78

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Solution

The fourth proportional to 731.70, 1,098.48 and 525.78 is: 789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.70 : 1,098.48 = 525.78 : x
  2. Step 2: Convert to fraction form
    731.70/1,098.48 = 525.78/x
  3. Step 3: Cross multiply
    731.70x = 1,098.48 × 525.78
  4. Step 4: Simplify right side
    731.70x = 577,558.81
  5. Step 5: Solve for x
    x = 577,558.81/731.70
  6. Step 6: Final answer
    x = 789.34

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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.