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Finding the Fourth Proportional to 847.16, 1,264.60 and 732.34

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Solution

The fourth proportional to 847.16, 1,264.60 and 732.34 is: 1,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.16 : 1,264.60 = 732.34 : x
  2. Step 2: Convert to fraction form
    847.16/1,264.60 = 732.34/x
  3. Step 3: Cross multiply
    847.16x = 1,264.60 × 732.34
  4. Step 4: Simplify right side
    847.16x = 926,112.17
  5. Step 5: Solve for x
    x = 926,112.17/847.16
  6. Step 6: Final answer
    x = 1,093.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.