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Finding the Fourth Proportional to 637.70, 877.91 and 572.09

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Solution

The fourth proportional to 637.70, 877.91 and 572.09 is: 787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.70 : 877.91 = 572.09 : x
  2. Step 2: Convert to fraction form
    637.70/877.91 = 572.09/x
  3. Step 3: Cross multiply
    637.70x = 877.91 × 572.09
  4. Step 4: Simplify right side
    637.70x = 502,236.28
  5. Step 5: Solve for x
    x = 502,236.28/637.70
  6. Step 6: Final answer
    x = 787.58

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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.