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Finding the Fourth Proportional to 691.22, 1,035.51 and 459.41

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Solution

The fourth proportional to 691.22, 1,035.51 and 459.41 is: 688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.22 : 1,035.51 = 459.41 : x
  2. Step 2: Convert to fraction form
    691.22/1,035.51 = 459.41/x
  3. Step 3: Cross multiply
    691.22x = 1,035.51 × 459.41
  4. Step 4: Simplify right side
    691.22x = 475,723.65
  5. Step 5: Solve for x
    x = 475,723.65/691.22
  6. Step 6: Final answer
    x = 688.24

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