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Finding the Fourth Proportional to 932.96, 1,399.91 and 385.53

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Solution

The fourth proportional to 932.96, 1,399.91 and 385.53 is: 578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.96 : 1,399.91 = 385.53 : x
  2. Step 2: Convert to fraction form
    932.96/1,399.91 = 385.53/x
  3. Step 3: Cross multiply
    932.96x = 1,399.91 × 385.53
  4. Step 4: Simplify right side
    932.96x = 539,705.37
  5. Step 5: Solve for x
    x = 539,705.37/932.96
  6. Step 6: Final answer
    x = 578.49

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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.