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Finding the Fourth Proportional to 567.77, 787.15 and 547.72

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Solution

The fourth proportional to 567.77, 787.15 and 547.72 is: 759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.77 : 787.15 = 547.72 : x
  2. Step 2: Convert to fraction form
    567.77/787.15 = 547.72/x
  3. Step 3: Cross multiply
    567.77x = 787.15 × 547.72
  4. Step 4: Simplify right side
    567.77x = 431,137.80
  5. Step 5: Solve for x
    x = 431,137.80/567.77
  6. Step 6: Final answer
    x = 759.35

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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.