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Finding the Fourth Proportional to 561.48, 772.27 and 450.71

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Solution

The fourth proportional to 561.48, 772.27 and 450.71 is: 619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.48 : 772.27 = 450.71 : x
  2. Step 2: Convert to fraction form
    561.48/772.27 = 450.71/x
  3. Step 3: Cross multiply
    561.48x = 772.27 × 450.71
  4. Step 4: Simplify right side
    561.48x = 348,067.72
  5. Step 5: Solve for x
    x = 348,067.72/561.48
  6. Step 6: Final answer
    x = 619.92

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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.