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Finding the Fourth Proportional to 876.17, 1,314.25 and 601.43

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Solution

The fourth proportional to 876.17, 1,314.25 and 601.43 is: 902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.17 : 1,314.25 = 601.43 : x
  2. Step 2: Convert to fraction form
    876.17/1,314.25 = 601.43/x
  3. Step 3: Cross multiply
    876.17x = 1,314.25 × 601.43
  4. Step 4: Simplify right side
    876.17x = 790,428.72
  5. Step 5: Solve for x
    x = 790,428.72/876.17
  6. Step 6: Final answer
    x = 902.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.