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Finding the Fourth Proportional to 624.88, 863.76 and 569.44

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Solution

The fourth proportional to 624.88, 863.76 and 569.44 is: 787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.88 : 863.76 = 569.44 : x
  2. Step 2: Convert to fraction form
    624.88/863.76 = 569.44/x
  3. Step 3: Cross multiply
    624.88x = 863.76 × 569.44
  4. Step 4: Simplify right side
    624.88x = 491,859.49
  5. Step 5: Solve for x
    x = 491,859.49/624.88
  6. Step 6: Final answer
    x = 787.13

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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.