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Finding the Fourth Proportional to 523.36, 781.48 and 468.16

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Solution

The fourth proportional to 523.36, 781.48 and 468.16 is: 699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.36 : 781.48 = 468.16 : x
  2. Step 2: Convert to fraction form
    523.36/781.48 = 468.16/x
  3. Step 3: Cross multiply
    523.36x = 781.48 × 468.16
  4. Step 4: Simplify right side
    523.36x = 365,857.68
  5. Step 5: Solve for x
    x = 365,857.68/523.36
  6. Step 6: Final answer
    x = 699.06

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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.