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Finding the Fourth Proportional to 523.41, 781.61 and 493.03

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Solution

The fourth proportional to 523.41, 781.61 and 493.03 is: 736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.41 : 781.61 = 493.03 : x
  2. Step 2: Convert to fraction form
    523.41/781.61 = 493.03/x
  3. Step 3: Cross multiply
    523.41x = 781.61 × 493.03
  4. Step 4: Simplify right side
    523.41x = 385,357.18
  5. Step 5: Solve for x
    x = 385,357.18/523.41
  6. Step 6: Final answer
    x = 736.24

Related Problems

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Double scale
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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.