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Finding the Fourth Proportional to 616.30, 919.25 and 523.96

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Solution

The fourth proportional to 616.30, 919.25 and 523.96 is: 781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.30 : 919.25 = 523.96 : x
  2. Step 2: Convert to fraction form
    616.30/919.25 = 523.96/x
  3. Step 3: Cross multiply
    616.30x = 919.25 × 523.96
  4. Step 4: Simplify right side
    616.30x = 481,649.24
  5. Step 5: Solve for x
    x = 481,649.24/616.30
  6. Step 6: Final answer
    x = 781.52

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1.5x scale

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.