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Finding the Fourth Proportional to 522.41, 781.92 and 473.18

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Solution

The fourth proportional to 522.41, 781.92 and 473.18 is: 708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.41 : 781.92 = 473.18 : x
  2. Step 2: Convert to fraction form
    522.41/781.92 = 473.18/x
  3. Step 3: Cross multiply
    522.41x = 781.92 × 473.18
  4. Step 4: Simplify right side
    522.41x = 369,985.00
  5. Step 5: Solve for x
    x = 369,985.00/522.41
  6. Step 6: Final answer
    x = 708.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.