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Finding the Fourth Proportional to 909.30, 1,253.84 and 614.06

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Solution

The fourth proportional to 909.30, 1,253.84 and 614.06 is: 846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.30 : 1,253.84 = 614.06 : x
  2. Step 2: Convert to fraction form
    909.30/1,253.84 = 614.06/x
  3. Step 3: Cross multiply
    909.30x = 1,253.84 × 614.06
  4. Step 4: Simplify right side
    909.30x = 769,929.14
  5. Step 5: Solve for x
    x = 769,929.14/909.30
  6. Step 6: Final answer
    x = 846.73

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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.