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Finding the Fourth Proportional to 874.25, 1,206.18 and 501.24

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Solution

The fourth proportional to 874.25, 1,206.18 and 501.24 is: 691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.25 : 1,206.18 = 501.24 : x
  2. Step 2: Convert to fraction form
    874.25/1,206.18 = 501.24/x
  3. Step 3: Cross multiply
    874.25x = 1,206.18 × 501.24
  4. Step 4: Simplify right side
    874.25x = 604,585.66
  5. Step 5: Solve for x
    x = 604,585.66/874.25
  6. Step 6: Final answer
    x = 691.55

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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.