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Finding the Fourth Proportional to 838.72, 1,155.26 and 705.78

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Solution

The fourth proportional to 838.72, 1,155.26 and 705.78 is: 972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.72 : 1,155.26 = 705.78 : x
  2. Step 2: Convert to fraction form
    838.72/1,155.26 = 705.78/x
  3. Step 3: Cross multiply
    838.72x = 1,155.26 × 705.78
  4. Step 4: Simplify right side
    838.72x = 815,361.17
  5. Step 5: Solve for x
    x = 815,361.17/838.72
  6. Step 6: Final answer
    x = 972.15

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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.