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Finding the Fourth Proportional to 874.90, 1,207.45 and 520.91

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Solution

The fourth proportional to 874.90, 1,207.45 and 520.91 is: 718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.90 : 1,207.45 = 520.91 : x
  2. Step 2: Convert to fraction form
    874.90/1,207.45 = 520.91/x
  3. Step 3: Cross multiply
    874.90x = 1,207.45 × 520.91
  4. Step 4: Simplify right side
    874.90x = 628,972.78
  5. Step 5: Solve for x
    x = 628,972.78/874.90
  6. Step 6: Final answer
    x = 718.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.