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Finding the Fourth Proportional to 572.35, 787.77 and 498.25

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Solution

The fourth proportional to 572.35, 787.77 and 498.25 is: 685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.35 : 787.77 = 498.25 : x
  2. Step 2: Convert to fraction form
    572.35/787.77 = 498.25/x
  3. Step 3: Cross multiply
    572.35x = 787.77 × 498.25
  4. Step 4: Simplify right side
    572.35x = 392,506.40
  5. Step 5: Solve for x
    x = 392,506.40/572.35
  6. Step 6: Final answer
    x = 685.78

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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.