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Finding the Fourth Proportional to 723.57, 1,085.35 and 175.76

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Solution

The fourth proportional to 723.57, 1,085.35 and 175.76 is: 263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.57 : 1,085.35 = 175.76 : x
  2. Step 2: Convert to fraction form
    723.57/1,085.35 = 175.76/x
  3. Step 3: Cross multiply
    723.57x = 1,085.35 × 175.76
  4. Step 4: Simplify right side
    723.57x = 190,761.12
  5. Step 5: Solve for x
    x = 190,761.12/723.57
  6. Step 6: Final answer
    x = 263.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.