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Finding the Fourth Proportional to 495.28, 681.84 and 429.52

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Solution

The fourth proportional to 495.28, 681.84 and 429.52 is: 591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.28 : 681.84 = 429.52 : x
  2. Step 2: Convert to fraction form
    495.28/681.84 = 429.52/x
  3. Step 3: Cross multiply
    495.28x = 681.84 × 429.52
  4. Step 4: Simplify right side
    495.28x = 292,863.92
  5. Step 5: Solve for x
    x = 292,863.92/495.28
  6. Step 6: Final answer
    x = 591.31

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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.