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Finding the Fourth Proportional to 909.63, 1,255.37 and 560.25

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Solution

The fourth proportional to 909.63, 1,255.37 and 560.25 is: 773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.63 : 1,255.37 = 560.25 : x
  2. Step 2: Convert to fraction form
    909.63/1,255.37 = 560.25/x
  3. Step 3: Cross multiply
    909.63x = 1,255.37 × 560.25
  4. Step 4: Simplify right side
    909.63x = 703,318.24
  5. Step 5: Solve for x
    x = 703,318.24/909.63
  6. Step 6: Final answer
    x = 773.19

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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.