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Finding the Fourth Proportional to 572.16, 787.40 and 547.56

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Solution

The fourth proportional to 572.16, 787.40 and 547.56 is: 753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.16 : 787.40 = 547.56 : x
  2. Step 2: Convert to fraction form
    572.16/787.40 = 547.56/x
  3. Step 3: Cross multiply
    572.16x = 787.40 × 547.56
  4. Step 4: Simplify right side
    572.16x = 431,144.81
  5. Step 5: Solve for x
    x = 431,144.81/572.16
  6. Step 6: Final answer
    x = 753.54

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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.