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Finding the Fourth Proportional to 847.32, 1,169.06 and 552.54

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Solution

The fourth proportional to 847.32, 1,169.06 and 552.54 is: 762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.32 : 1,169.06 = 552.54 : x
  2. Step 2: Convert to fraction form
    847.32/1,169.06 = 552.54/x
  3. Step 3: Cross multiply
    847.32x = 1,169.06 × 552.54
  4. Step 4: Simplify right side
    847.32x = 645,952.41
  5. Step 5: Solve for x
    x = 645,952.41/847.32
  6. Step 6: Final answer
    x = 762.35

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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.