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Finding the Fourth Proportional to 843.48, 1,261.98 and 478.44

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Solution

The fourth proportional to 843.48, 1,261.98 and 478.44 is: 715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.48 : 1,261.98 = 478.44 : x
  2. Step 2: Convert to fraction form
    843.48/1,261.98 = 478.44/x
  3. Step 3: Cross multiply
    843.48x = 1,261.98 × 478.44
  4. Step 4: Simplify right side
    843.48x = 603,781.71
  5. Step 5: Solve for x
    x = 603,781.71/843.48
  6. Step 6: Final answer
    x = 715.82

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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.