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Finding the Fourth Proportional to 497.85, 686.25 and 392.78

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Solution

The fourth proportional to 497.85, 686.25 and 392.78 is: 541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.85 : 686.25 = 392.78 : x
  2. Step 2: Convert to fraction form
    497.85/686.25 = 392.78/x
  3. Step 3: Cross multiply
    497.85x = 686.25 × 392.78
  4. Step 4: Simplify right side
    497.85x = 269,541.84
  5. Step 5: Solve for x
    x = 269,541.84/497.85
  6. Step 6: Final answer
    x = 541.41

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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.