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Finding the Fourth Proportional to 624.64, 934.68 and 538.98

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Solution

The fourth proportional to 624.64, 934.68 and 538.98 is: 806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.64 : 934.68 = 538.98 : x
  2. Step 2: Convert to fraction form
    624.64/934.68 = 538.98/x
  3. Step 3: Cross multiply
    624.64x = 934.68 × 538.98
  4. Step 4: Simplify right side
    624.64x = 503,773.83
  5. Step 5: Solve for x
    x = 503,773.83/624.64
  6. Step 6: Final answer
    x = 806.50

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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.