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Finding the Fourth Proportional to 826.32, 1,234.98 and 653.52

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Solution

The fourth proportional to 826.32, 1,234.98 and 653.52 is: 976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.32 : 1,234.98 = 653.52 : x
  2. Step 2: Convert to fraction form
    826.32/1,234.98 = 653.52/x
  3. Step 3: Cross multiply
    826.32x = 1,234.98 × 653.52
  4. Step 4: Simplify right side
    826.32x = 807,084.13
  5. Step 5: Solve for x
    x = 807,084.13/826.32
  6. Step 6: Final answer
    x = 976.72

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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.