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Finding the Fourth Proportional to 1,120.64, 1,673.35 and 886.91

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Solution

The fourth proportional to 1,120.64, 1,673.35 and 886.91 is: 1,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.64 : 1,673.35 = 886.91 : x
  2. Step 2: Convert to fraction form
    1,120.64/1,673.35 = 886.91/x
  3. Step 3: Cross multiply
    1,120.64x = 1,673.35 × 886.91
  4. Step 4: Simplify right side
    1,120.64x = 1,484,110.85
  5. Step 5: Solve for x
    x = 1,484,110.85/1,120.64
  6. Step 6: Final answer
    x = 1,324.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.