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Finding the Fourth Proportional to 624.65, 937.31 and 259.47

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Solution

The fourth proportional to 624.65, 937.31 and 259.47 is: 389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.65 : 937.31 = 259.47 : x
  2. Step 2: Convert to fraction form
    624.65/937.31 = 259.47/x
  3. Step 3: Cross multiply
    624.65x = 937.31 × 259.47
  4. Step 4: Simplify right side
    624.65x = 243,202.53
  5. Step 5: Solve for x
    x = 243,202.53/624.65
  6. Step 6: Final answer
    x = 389.35

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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.