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Finding the Fourth Proportional to 1,251.69, 1,875.48 and 834.45

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Solution

The fourth proportional to 1,251.69, 1,875.48 and 834.45 is: 1,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.69 : 1,875.48 = 834.45 : x
  2. Step 2: Convert to fraction form
    1,251.69/1,875.48 = 834.45/x
  3. Step 3: Cross multiply
    1,251.69x = 1,875.48 × 834.45
  4. Step 4: Simplify right side
    1,251.69x = 1,564,994.29
  5. Step 5: Solve for x
    x = 1,564,994.29/1,251.69
  6. Step 6: Final answer
    x = 1,250.31

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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.