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Finding the Fourth Proportional to 624.08, 934.90 and 459.25

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Solution

The fourth proportional to 624.08, 934.90 and 459.25 is: 687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.08 : 934.90 = 459.25 : x
  2. Step 2: Convert to fraction form
    624.08/934.90 = 459.25/x
  3. Step 3: Cross multiply
    624.08x = 934.90 × 459.25
  4. Step 4: Simplify right side
    624.08x = 429,352.83
  5. Step 5: Solve for x
    x = 429,352.83/624.08
  6. Step 6: Final answer
    x = 687.98

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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.