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Finding the Fourth Proportional to 906.93, 1,251.53 and 508.63

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Solution

The fourth proportional to 906.93, 1,251.53 and 508.63 is: 701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.93 : 1,251.53 = 508.63 : x
  2. Step 2: Convert to fraction form
    906.93/1,251.53 = 508.63/x
  3. Step 3: Cross multiply
    906.93x = 1,251.53 × 508.63
  4. Step 4: Simplify right side
    906.93x = 636,565.70
  5. Step 5: Solve for x
    x = 636,565.70/906.93
  6. Step 6: Final answer
    x = 701.89

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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.