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Finding the Fourth Proportional to 876.16, 1,306.49 and 816.58

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Solution

The fourth proportional to 876.16, 1,306.49 and 816.58 is: 1,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.16 : 1,306.49 = 816.58 : x
  2. Step 2: Convert to fraction form
    876.16/1,306.49 = 816.58/x
  3. Step 3: Cross multiply
    876.16x = 1,306.49 × 816.58
  4. Step 4: Simplify right side
    876.16x = 1,066,853.60
  5. Step 5: Solve for x
    x = 1,066,853.60/876.16
  6. Step 6: Final answer
    x = 1,217.65

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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.