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Finding the Fourth Proportional to 1,052.68, 1,451.74 and 842.89

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Solution

The fourth proportional to 1,052.68, 1,451.74 and 842.89 is: 1,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.68 : 1,451.74 = 842.89 : x
  2. Step 2: Convert to fraction form
    1,052.68/1,451.74 = 842.89/x
  3. Step 3: Cross multiply
    1,052.68x = 1,451.74 × 842.89
  4. Step 4: Simplify right side
    1,052.68x = 1,223,657.13
  5. Step 5: Solve for x
    x = 1,223,657.13/1,052.68
  6. Step 6: Final answer
    x = 1,162.42

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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.