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Finding the Fourth Proportional to 624.29, 938.13 and 583.65

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Solution

The fourth proportional to 624.29, 938.13 and 583.65 is: 877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.29 : 938.13 = 583.65 : x
  2. Step 2: Convert to fraction form
    624.29/938.13 = 583.65/x
  3. Step 3: Cross multiply
    624.29x = 938.13 × 583.65
  4. Step 4: Simplify right side
    624.29x = 547,539.57
  5. Step 5: Solve for x
    x = 547,539.57/624.29
  6. Step 6: Final answer
    x = 877.07

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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.