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Finding the Fourth Proportional to 691.11, 1,037.69 and 678.81

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Solution

The fourth proportional to 691.11, 1,037.69 and 678.81 is: 1,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.11 : 1,037.69 = 678.81 : x
  2. Step 2: Convert to fraction form
    691.11/1,037.69 = 678.81/x
  3. Step 3: Cross multiply
    691.11x = 1,037.69 × 678.81
  4. Step 4: Simplify right side
    691.11x = 704,394.35
  5. Step 5: Solve for x
    x = 704,394.35/691.11
  6. Step 6: Final answer
    x = 1,019.22

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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.