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Finding the Fourth Proportional to 523.66, 781.95 and 455.34

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Solution

The fourth proportional to 523.66, 781.95 and 455.34 is: 679.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.66 : 781.95 = 455.34 : x
  2. Step 2: Convert to fraction form
    523.66/781.95 = 455.34/x
  3. Step 3: Cross multiply
    523.66x = 781.95 × 455.34
  4. Step 4: Simplify right side
    523.66x = 356,053.11
  5. Step 5: Solve for x
    x = 356,053.11/523.66
  6. Step 6: Final answer
    x = 679.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.