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Finding the Fourth Proportional to 1,484.87, 2,227.19 and 560.03

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Solution

The fourth proportional to 1,484.87, 2,227.19 and 560.03 is: 840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.87 : 2,227.19 = 560.03 : x
  2. Step 2: Convert to fraction form
    1,484.87/2,227.19 = 560.03/x
  3. Step 3: Cross multiply
    1,484.87x = 2,227.19 × 560.03
  4. Step 4: Simplify right side
    1,484.87x = 1,247,279.28
  5. Step 5: Solve for x
    x = 1,247,279.28/1,484.87
  6. Step 6: Final answer
    x = 840.00

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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.