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Finding the Fourth Proportional to 581.91, 871.65 and 532.11

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Solution

The fourth proportional to 581.91, 871.65 and 532.11 is: 797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.91 : 871.65 = 532.11 : x
  2. Step 2: Convert to fraction form
    581.91/871.65 = 532.11/x
  3. Step 3: Cross multiply
    581.91x = 871.65 × 532.11
  4. Step 4: Simplify right side
    581.91x = 463,813.68
  5. Step 5: Solve for x
    x = 463,813.68/581.91
  6. Step 6: Final answer
    x = 797.05

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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.