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Finding the Fourth Proportional to 932.64, 1,399.30 and 493.91

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Solution

The fourth proportional to 932.64, 1,399.30 and 493.91 is: 741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.64 : 1,399.30 = 493.91 : x
  2. Step 2: Convert to fraction form
    932.64/1,399.30 = 493.91/x
  3. Step 3: Cross multiply
    932.64x = 1,399.30 × 493.91
  4. Step 4: Simplify right side
    932.64x = 691,130.53
  5. Step 5: Solve for x
    x = 691,130.53/932.64
  6. Step 6: Final answer
    x = 741.05

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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.