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Finding the Fourth Proportional to 645.14, 961.12 and 614.18

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Solution

The fourth proportional to 645.14, 961.12 and 614.18 is: 915.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.14 : 961.12 = 614.18 : x
  2. Step 2: Convert to fraction form
    645.14/961.12 = 614.18/x
  3. Step 3: Cross multiply
    645.14x = 961.12 × 614.18
  4. Step 4: Simplify right side
    645.14x = 590,300.68
  5. Step 5: Solve for x
    x = 590,300.68/645.14
  6. Step 6: Final answer
    x = 915.00

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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.