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Finding the Fourth Proportional to 585.42, 878.79 and 571.56

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Solution

The fourth proportional to 585.42, 878.79 and 571.56 is: 857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.42 : 878.79 = 571.56 : x
  2. Step 2: Convert to fraction form
    585.42/878.79 = 571.56/x
  3. Step 3: Cross multiply
    585.42x = 878.79 × 571.56
  4. Step 4: Simplify right side
    585.42x = 502,281.21
  5. Step 5: Solve for x
    x = 502,281.21/585.42
  6. Step 6: Final answer
    x = 857.98

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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.