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Finding the Fourth Proportional to 585.27, 873.32 and 523.98

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Solution

The fourth proportional to 585.27, 873.32 and 523.98 is: 781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.27 : 873.32 = 523.98 : x
  2. Step 2: Convert to fraction form
    585.27/873.32 = 523.98/x
  3. Step 3: Cross multiply
    585.27x = 873.32 × 523.98
  4. Step 4: Simplify right side
    585.27x = 457,599.59
  5. Step 5: Solve for x
    x = 457,599.59/585.27
  6. Step 6: Final answer
    x = 781.86

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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.