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Finding the Fourth Proportional to 1,240.64, 1,861.12 and 418.64

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Solution

The fourth proportional to 1,240.64, 1,861.12 and 418.64 is: 628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.64 : 1,861.12 = 418.64 : x
  2. Step 2: Convert to fraction form
    1,240.64/1,861.12 = 418.64/x
  3. Step 3: Cross multiply
    1,240.64x = 1,861.12 × 418.64
  4. Step 4: Simplify right side
    1,240.64x = 779,139.28
  5. Step 5: Solve for x
    x = 779,139.28/1,240.64
  6. Step 6: Final answer
    x = 628.01

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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.