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Finding the Fourth Proportional to 876.07, 1,207.31 and 626.95

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Solution

The fourth proportional to 876.07, 1,207.31 and 626.95 is: 864.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.07 : 1,207.31 = 626.95 : x
  2. Step 2: Convert to fraction form
    876.07/1,207.31 = 626.95/x
  3. Step 3: Cross multiply
    876.07x = 1,207.31 × 626.95
  4. Step 4: Simplify right side
    876.07x = 756,921.38
  5. Step 5: Solve for x
    x = 756,921.38/876.07
  6. Step 6: Final answer
    x = 864.00

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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.