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Finding the Fourth Proportional to 501.12, 691.74 and 385.02

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Solution

The fourth proportional to 501.12, 691.74 and 385.02 is: 531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.12 : 691.74 = 385.02 : x
  2. Step 2: Convert to fraction form
    501.12/691.74 = 385.02/x
  3. Step 3: Cross multiply
    501.12x = 691.74 × 385.02
  4. Step 4: Simplify right side
    501.12x = 266,333.73
  5. Step 5: Solve for x
    x = 266,333.73/501.12
  6. Step 6: Final answer
    x = 531.48

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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.