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Finding the Fourth Proportional to 820.19, 1,234.91 and 723.32

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Solution

The fourth proportional to 820.19, 1,234.91 and 723.32 is: 1,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.19 : 1,234.91 = 723.32 : x
  2. Step 2: Convert to fraction form
    820.19/1,234.91 = 723.32/x
  3. Step 3: Cross multiply
    820.19x = 1,234.91 × 723.32
  4. Step 4: Simplify right side
    820.19x = 893,235.10
  5. Step 5: Solve for x
    x = 893,235.10/820.19
  6. Step 6: Final answer
    x = 1,089.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.