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Finding the Fourth Proportional to 909.28, 1,253.35 and 614.03

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Solution

The fourth proportional to 909.28, 1,253.35 and 614.03 is: 846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.28 : 1,253.35 = 614.03 : x
  2. Step 2: Convert to fraction form
    909.28/1,253.35 = 614.03/x
  3. Step 3: Cross multiply
    909.28x = 1,253.35 × 614.03
  4. Step 4: Simplify right side
    909.28x = 769,594.50
  5. Step 5: Solve for x
    x = 769,594.50/909.28
  6. Step 6: Final answer
    x = 846.38

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1.5x scale

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.