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Finding the Fourth Proportional to 562.84, 839.64 and 523.56

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Solution

The fourth proportional to 562.84, 839.64 and 523.56 is: 781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.84 : 839.64 = 523.56 : x
  2. Step 2: Convert to fraction form
    562.84/839.64 = 523.56/x
  3. Step 3: Cross multiply
    562.84x = 839.64 × 523.56
  4. Step 4: Simplify right side
    562.84x = 439,601.92
  5. Step 5: Solve for x
    x = 439,601.92/562.84
  6. Step 6: Final answer
    x = 781.04

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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.