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Finding the Fourth Proportional to 568.30, 787.54 and 557.35

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Solution

The fourth proportional to 568.30, 787.54 and 557.35 is: 772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.30 : 787.54 = 557.35 : x
  2. Step 2: Convert to fraction form
    568.30/787.54 = 557.35/x
  3. Step 3: Cross multiply
    568.30x = 787.54 × 557.35
  4. Step 4: Simplify right side
    568.30x = 438,935.42
  5. Step 5: Solve for x
    x = 438,935.42/568.30
  6. Step 6: Final answer
    x = 772.37

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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.