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Finding the Fourth Proportional to 624, 934.32 and 440.40

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Solution

The fourth proportional to 624, 934.32 and 440.40 is: 659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    624 : 934.32 = 440.40 : x
  2. Step 2: Convert to fraction form
    624/934.32 = 440.40/x
  3. Step 3: Cross multiply
    624x = 934.32 × 440.40
  4. Step 4: Simplify right side
    624x = 411,474.53
  5. Step 5: Solve for x
    x = 411,474.53/624
  6. Step 6: Final answer
    x = 659.41

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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.