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Finding the Fourth Proportional to 523.35, 781.52 and 492.98

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Solution

The fourth proportional to 523.35, 781.52 and 492.98 is: 736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.35 : 781.52 = 492.98 : x
  2. Step 2: Convert to fraction form
    523.35/781.52 = 492.98/x
  3. Step 3: Cross multiply
    523.35x = 781.52 × 492.98
  4. Step 4: Simplify right side
    523.35x = 385,267.36
  5. Step 5: Solve for x
    x = 385,267.36/523.35
  6. Step 6: Final answer
    x = 736.16

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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.