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Finding the Fourth Proportional to 1,144.10, 1,715.65 and 440.88

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Solution

The fourth proportional to 1,144.10, 1,715.65 and 440.88 is: 661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.10 : 1,715.65 = 440.88 : x
  2. Step 2: Convert to fraction form
    1,144.10/1,715.65 = 440.88/x
  3. Step 3: Cross multiply
    1,144.10x = 1,715.65 × 440.88
  4. Step 4: Simplify right side
    1,144.10x = 756,394.67
  5. Step 5: Solve for x
    x = 756,394.67/1,144.10
  6. Step 6: Final answer
    x = 661.13

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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.