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Finding the Fourth Proportional to 907.41, 1,252.72 and 624.23

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Solution

The fourth proportional to 907.41, 1,252.72 and 624.23 is: 861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.41 : 1,252.72 = 624.23 : x
  2. Step 2: Convert to fraction form
    907.41/1,252.72 = 624.23/x
  3. Step 3: Cross multiply
    907.41x = 1,252.72 × 624.23
  4. Step 4: Simplify right side
    907.41x = 781,985.41
  5. Step 5: Solve for x
    x = 781,985.41/907.41
  6. Step 6: Final answer
    x = 861.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.