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Finding the Fourth Proportional to 847.72, 1,169.88 and 553.40

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Solution

The fourth proportional to 847.72, 1,169.88 and 553.40 is: 763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.72 : 1,169.88 = 553.40 : x
  2. Step 2: Convert to fraction form
    847.72/1,169.88 = 553.40/x
  3. Step 3: Cross multiply
    847.72x = 1,169.88 × 553.40
  4. Step 4: Simplify right side
    847.72x = 647,411.59
  5. Step 5: Solve for x
    x = 647,411.59/847.72
  6. Step 6: Final answer
    x = 763.71

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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.