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Finding the Fourth Proportional to 1,250.60, 1,721.78 and 1,029.15

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Solution

The fourth proportional to 1,250.60, 1,721.78 and 1,029.15 is: 1,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.60 : 1,721.78 = 1,029.15 : x
  2. Step 2: Convert to fraction form
    1,250.60/1,721.78 = 1,029.15/x
  3. Step 3: Cross multiply
    1,250.60x = 1,721.78 × 1,029.15
  4. Step 4: Simplify right side
    1,250.60x = 1,771,964.74
  5. Step 5: Solve for x
    x = 1,771,964.74/1,250.60
  6. Step 6: Final answer
    x = 1,416.90

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