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Finding the Fourth Proportional to 585.68, 876.69 and 523.85

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Solution

The fourth proportional to 585.68, 876.69 and 523.85 is: 784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.68 : 876.69 = 523.85 : x
  2. Step 2: Convert to fraction form
    585.68/876.69 = 523.85/x
  3. Step 3: Cross multiply
    585.68x = 876.69 × 523.85
  4. Step 4: Simplify right side
    585.68x = 459,249.67
  5. Step 5: Solve for x
    x = 459,249.67/585.68
  6. Step 6: Final answer
    x = 784.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.