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Finding the Fourth Proportional to 1,253.20, 1,880 and 473.16

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Solution

The fourth proportional to 1,253.20, 1,880 and 473.16 is: 709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.20 : 1,880 = 473.16 : x
  2. Step 2: Convert to fraction form
    1,253.20/1,880 = 473.16/x
  3. Step 3: Cross multiply
    1,253.20x = 1,880 × 473.16
  4. Step 4: Simplify right side
    1,253.20x = 889,540.80
  5. Step 5: Solve for x
    x = 889,540.80/1,253.20
  6. Step 6: Final answer
    x = 709.82

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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.