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Finding the Fourth Proportional to 695.19, 1,040.66 and 500.18

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Solution

The fourth proportional to 695.19, 1,040.66 and 500.18 is: 748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.19 : 1,040.66 = 500.18 : x
  2. Step 2: Convert to fraction form
    695.19/1,040.66 = 500.18/x
  3. Step 3: Cross multiply
    695.19x = 1,040.66 × 500.18
  4. Step 4: Simplify right side
    695.19x = 520,517.42
  5. Step 5: Solve for x
    x = 520,517.42/695.19
  6. Step 6: Final answer
    x = 748.74

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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.