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Finding the Fourth Proportional to 691.11, 1,035.86 and 366.39

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Solution

The fourth proportional to 691.11, 1,035.86 and 366.39 is: 549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.11 : 1,035.86 = 366.39 : x
  2. Step 2: Convert to fraction form
    691.11/1,035.86 = 366.39/x
  3. Step 3: Cross multiply
    691.11x = 1,035.86 × 366.39
  4. Step 4: Simplify right side
    691.11x = 379,526.91
  5. Step 5: Solve for x
    x = 379,526.91/691.11
  6. Step 6: Final answer
    x = 549.16

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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.