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Finding the Fourth Proportional to 847.11, 1,170.51 and 652.31

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Solution

The fourth proportional to 847.11, 1,170.51 and 652.31 is: 901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.11 : 1,170.51 = 652.31 : x
  2. Step 2: Convert to fraction form
    847.11/1,170.51 = 652.31/x
  3. Step 3: Cross multiply
    847.11x = 1,170.51 × 652.31
  4. Step 4: Simplify right side
    847.11x = 763,529.53
  5. Step 5: Solve for x
    x = 763,529.53/847.11
  6. Step 6: Final answer
    x = 901.33

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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.