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Finding the Fourth Proportional to 874.72, 1,312.44 and 484.66

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Solution

The fourth proportional to 874.72, 1,312.44 and 484.66 is: 727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.72 : 1,312.44 = 484.66 : x
  2. Step 2: Convert to fraction form
    874.72/1,312.44 = 484.66/x
  3. Step 3: Cross multiply
    874.72x = 1,312.44 × 484.66
  4. Step 4: Simplify right side
    874.72x = 636,087.17
  5. Step 5: Solve for x
    x = 636,087.17/874.72
  6. Step 6: Final answer
    x = 727.19

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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.