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Finding the Fourth Proportional to 1,294.65, 1,783.76 and 1,154.79

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Solution

The fourth proportional to 1,294.65, 1,783.76 and 1,154.79 is: 1,591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.65 : 1,783.76 = 1,154.79 : x
  2. Step 2: Convert to fraction form
    1,294.65/1,783.76 = 1,154.79/x
  3. Step 3: Cross multiply
    1,294.65x = 1,783.76 × 1,154.79
  4. Step 4: Simplify right side
    1,294.65x = 2,059,862.44
  5. Step 5: Solve for x
    x = 2,059,862.44/1,294.65
  6. Step 6: Final answer
    x = 1,591.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.