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Finding the Fourth Proportional to 875.24, 1,311.81 and 387.74

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Solution

The fourth proportional to 875.24, 1,311.81 and 387.74 is: 581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.24 : 1,311.81 = 387.74 : x
  2. Step 2: Convert to fraction form
    875.24/1,311.81 = 387.74/x
  3. Step 3: Cross multiply
    875.24x = 1,311.81 × 387.74
  4. Step 4: Simplify right side
    875.24x = 508,641.21
  5. Step 5: Solve for x
    x = 508,641.21/875.24
  6. Step 6: Final answer
    x = 581.14

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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.