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Finding the Fourth Proportional to 1,250.97, 1,876.45 and 470.53

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Solution

The fourth proportional to 1,250.97, 1,876.45 and 470.53 is: 705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.97 : 1,876.45 = 470.53 : x
  2. Step 2: Convert to fraction form
    1,250.97/1,876.45 = 470.53/x
  3. Step 3: Cross multiply
    1,250.97x = 1,876.45 × 470.53
  4. Step 4: Simplify right side
    1,250.97x = 882,926.02
  5. Step 5: Solve for x
    x = 882,926.02/1,250.97
  6. Step 6: Final answer
    x = 705.79

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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.