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Finding the Fourth Proportional to 733.68, 1,011.96 and 501.36

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Solution

The fourth proportional to 733.68, 1,011.96 and 501.36 is: 691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.68 : 1,011.96 = 501.36 : x
  2. Step 2: Convert to fraction form
    733.68/1,011.96 = 501.36/x
  3. Step 3: Cross multiply
    733.68x = 1,011.96 × 501.36
  4. Step 4: Simplify right side
    733.68x = 507,356.27
  5. Step 5: Solve for x
    x = 507,356.27/733.68
  6. Step 6: Final answer
    x = 691.52

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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.