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Finding the Fourth Proportional to 568.43, 787.72 and 557.49

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Solution

The fourth proportional to 568.43, 787.72 and 557.49 is: 772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.43 : 787.72 = 557.49 : x
  2. Step 2: Convert to fraction form
    568.43/787.72 = 557.49/x
  3. Step 3: Cross multiply
    568.43x = 787.72 × 557.49
  4. Step 4: Simplify right side
    568.43x = 439,144.63
  5. Step 5: Solve for x
    x = 439,144.63/568.43
  6. Step 6: Final answer
    x = 772.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.