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Finding the Fourth Proportional to 847.89, 1,169.75 and 553.05

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Solution

The fourth proportional to 847.89, 1,169.75 and 553.05 is: 762.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.89 : 1,169.75 = 553.05 : x
  2. Step 2: Convert to fraction form
    847.89/1,169.75 = 553.05/x
  3. Step 3: Cross multiply
    847.89x = 1,169.75 × 553.05
  4. Step 4: Simplify right side
    847.89x = 646,927.47
  5. Step 5: Solve for x
    x = 646,927.47/847.89
  6. Step 6: Final answer
    x = 762.99

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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.