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Finding the Fourth Proportional to 624.64, 939.12 and 577.12

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Solution

The fourth proportional to 624.64, 939.12 and 577.12 is: 867.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.64 : 939.12 = 577.12 : x
  2. Step 2: Convert to fraction form
    624.64/939.12 = 577.12/x
  3. Step 3: Cross multiply
    624.64x = 939.12 × 577.12
  4. Step 4: Simplify right side
    624.64x = 541,984.93
  5. Step 5: Solve for x
    x = 541,984.93/624.64
  6. Step 6: Final answer
    x = 867.68

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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.