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Finding the Fourth Proportional to 523.62, 781.70 and 445.77

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Solution

The fourth proportional to 523.62, 781.70 and 445.77 is: 665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.62 : 781.70 = 445.77 : x
  2. Step 2: Convert to fraction form
    523.62/781.70 = 445.77/x
  3. Step 3: Cross multiply
    523.62x = 781.70 × 445.77
  4. Step 4: Simplify right side
    523.62x = 348,456.18
  5. Step 5: Solve for x
    x = 348,456.18/523.62
  6. Step 6: Final answer
    x = 665.48

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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.