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Finding the Fourth Proportional to 522.88, 722.42 and 392.72

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Solution

The fourth proportional to 522.88, 722.42 and 392.72 is: 542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.88 : 722.42 = 392.72 : x
  2. Step 2: Convert to fraction form
    522.88/722.42 = 392.72/x
  3. Step 3: Cross multiply
    522.88x = 722.42 × 392.72
  4. Step 4: Simplify right side
    522.88x = 283,708.78
  5. Step 5: Solve for x
    x = 283,708.78/522.88
  6. Step 6: Final answer
    x = 542.59

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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.