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Finding the Fourth Proportional to 1,077.32, 1,623.31 and 886.59

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Solution

The fourth proportional to 1,077.32, 1,623.31 and 886.59 is: 1,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.32 : 1,623.31 = 886.59 : x
  2. Step 2: Convert to fraction form
    1,077.32/1,623.31 = 886.59/x
  3. Step 3: Cross multiply
    1,077.32x = 1,623.31 × 886.59
  4. Step 4: Simplify right side
    1,077.32x = 1,439,210.04
  5. Step 5: Solve for x
    x = 1,439,210.04/1,077.32
  6. Step 6: Final answer
    x = 1,335.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.