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Finding the Fourth Proportional to 750.20, 1,035.41 and 497.68

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Solution

The fourth proportional to 750.20, 1,035.41 and 497.68 is: 686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.20 : 1,035.41 = 497.68 : x
  2. Step 2: Convert to fraction form
    750.20/1,035.41 = 497.68/x
  3. Step 3: Cross multiply
    750.20x = 1,035.41 × 497.68
  4. Step 4: Simplify right side
    750.20x = 515,302.85
  5. Step 5: Solve for x
    x = 515,302.85/750.20
  6. Step 6: Final answer
    x = 686.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.