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Finding the Fourth Proportional to 834.70, 1,152.22 and 747.22

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Solution

The fourth proportional to 834.70, 1,152.22 and 747.22 is: 1,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.70 : 1,152.22 = 747.22 : x
  2. Step 2: Convert to fraction form
    834.70/1,152.22 = 747.22/x
  3. Step 3: Cross multiply
    834.70x = 1,152.22 × 747.22
  4. Step 4: Simplify right side
    834.70x = 860,961.83
  5. Step 5: Solve for x
    x = 860,961.83/834.70
  6. Step 6: Final answer
    x = 1,031.46

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1.5x scale

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.