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Finding the Fourth Proportional to 874.66, 1,207.46 and 591.15

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Solution

The fourth proportional to 874.66, 1,207.46 and 591.15 is: 816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.66 : 1,207.46 = 591.15 : x
  2. Step 2: Convert to fraction form
    874.66/1,207.46 = 591.15/x
  3. Step 3: Cross multiply
    874.66x = 1,207.46 × 591.15
  4. Step 4: Simplify right side
    874.66x = 713,789.98
  5. Step 5: Solve for x
    x = 713,789.98/874.66
  6. Step 6: Final answer
    x = 816.08

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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.