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Finding the Fourth Proportional to 500.17, 746.54 and 469.39

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Solution

The fourth proportional to 500.17, 746.54 and 469.39 is: 700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.17 : 746.54 = 469.39 : x
  2. Step 2: Convert to fraction form
    500.17/746.54 = 469.39/x
  3. Step 3: Cross multiply
    500.17x = 746.54 × 469.39
  4. Step 4: Simplify right side
    500.17x = 350,414.68
  5. Step 5: Solve for x
    x = 350,414.68/500.17
  6. Step 6: Final answer
    x = 700.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.