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Finding the Fourth Proportional to 843.23, 1,264.14 and 477.52

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Solution

The fourth proportional to 843.23, 1,264.14 and 477.52 is: 715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.23 : 1,264.14 = 477.52 : x
  2. Step 2: Convert to fraction form
    843.23/1,264.14 = 477.52/x
  3. Step 3: Cross multiply
    843.23x = 1,264.14 × 477.52
  4. Step 4: Simplify right side
    843.23x = 603,648.97
  5. Step 5: Solve for x
    x = 603,648.97/843.23
  6. Step 6: Final answer
    x = 715.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.