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Finding the Fourth Proportional to 731.48, 1,098.06 and 501.34

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Solution

The fourth proportional to 731.48, 1,098.06 and 501.34 is: 752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.48 : 1,098.06 = 501.34 : x
  2. Step 2: Convert to fraction form
    731.48/1,098.06 = 501.34/x
  3. Step 3: Cross multiply
    731.48x = 1,098.06 × 501.34
  4. Step 4: Simplify right side
    731.48x = 550,501.40
  5. Step 5: Solve for x
    x = 550,501.40/731.48
  6. Step 6: Final answer
    x = 752.59

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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.