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Finding the Fourth Proportional to 1,440.34, 2,164.39 and 782.71

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Solution

The fourth proportional to 1,440.34, 2,164.39 and 782.71 is: 1,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.34 : 2,164.39 = 782.71 : x
  2. Step 2: Convert to fraction form
    1,440.34/2,164.39 = 782.71/x
  3. Step 3: Cross multiply
    1,440.34x = 2,164.39 × 782.71
  4. Step 4: Simplify right side
    1,440.34x = 1,694,082.46
  5. Step 5: Solve for x
    x = 1,694,082.46/1,440.34
  6. Step 6: Final answer
    x = 1,176.16

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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.