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Finding the Fourth Proportional to 885.91, 1,319.16 and 876.12

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Solution

The fourth proportional to 885.91, 1,319.16 and 876.12 is: 1,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.91 : 1,319.16 = 876.12 : x
  2. Step 2: Convert to fraction form
    885.91/1,319.16 = 876.12/x
  3. Step 3: Cross multiply
    885.91x = 1,319.16 × 876.12
  4. Step 4: Simplify right side
    885.91x = 1,155,739.17
  5. Step 5: Solve for x
    x = 1,155,739.17/885.91
  6. Step 6: Final answer
    x = 1,304.58

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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.