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Finding the Fourth Proportional to 874.85, 1,313.20 and 442

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Solution

The fourth proportional to 874.85, 1,313.20 and 442 is: 663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.85 : 1,313.20 = 442 : x
  2. Step 2: Convert to fraction form
    874.85/1,313.20 = 442/x
  3. Step 3: Cross multiply
    874.85x = 1,313.20 × 442
  4. Step 4: Simplify right side
    874.85x = 580,434.40
  5. Step 5: Solve for x
    x = 580,434.40/874.85
  6. Step 6: Final answer
    x = 663.47

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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.