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Finding the Fourth Proportional to 909.80, 1,254.53 and 614.56

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Solution

The fourth proportional to 909.80, 1,254.53 and 614.56 is: 847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.80 : 1,254.53 = 614.56 : x
  2. Step 2: Convert to fraction form
    909.80/1,254.53 = 614.56/x
  3. Step 3: Cross multiply
    909.80x = 1,254.53 × 614.56
  4. Step 4: Simplify right side
    909.80x = 770,979.22
  5. Step 5: Solve for x
    x = 770,979.22/909.80
  6. Step 6: Final answer
    x = 847.42

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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.