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Finding the Fourth Proportional to 572.19, 787.71 and 546.07

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Solution

The fourth proportional to 572.19, 787.71 and 546.07 is: 751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.19 : 787.71 = 546.07 : x
  2. Step 2: Convert to fraction form
    572.19/787.71 = 546.07/x
  3. Step 3: Cross multiply
    572.19x = 787.71 × 546.07
  4. Step 4: Simplify right side
    572.19x = 430,144.80
  5. Step 5: Solve for x
    x = 430,144.80/572.19
  6. Step 6: Final answer
    x = 751.75

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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.