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Finding the Fourth Proportional to 624.17, 934.73 and 298.75

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Solution

The fourth proportional to 624.17, 934.73 and 298.75 is: 447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.17 : 934.73 = 298.75 : x
  2. Step 2: Convert to fraction form
    624.17/934.73 = 298.75/x
  3. Step 3: Cross multiply
    624.17x = 934.73 × 298.75
  4. Step 4: Simplify right side
    624.17x = 279,250.59
  5. Step 5: Solve for x
    x = 279,250.59/624.17
  6. Step 6: Final answer
    x = 447.40

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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.