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Finding the Fourth Proportional to 902.74, 1,244.65 and 587.56

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Solution

The fourth proportional to 902.74, 1,244.65 and 587.56 is: 810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.74 : 1,244.65 = 587.56 : x
  2. Step 2: Convert to fraction form
    902.74/1,244.65 = 587.56/x
  3. Step 3: Cross multiply
    902.74x = 1,244.65 × 587.56
  4. Step 4: Simplify right side
    902.74x = 731,306.55
  5. Step 5: Solve for x
    x = 731,306.55/902.74
  6. Step 6: Final answer
    x = 810.10

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1.5x scale

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.