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Finding the Fourth Proportional to 690.11, 1,036.19 and 677.81

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Solution

The fourth proportional to 690.11, 1,036.19 and 677.81 is: 1,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.11 : 1,036.19 = 677.81 : x
  2. Step 2: Convert to fraction form
    690.11/1,036.19 = 677.81/x
  3. Step 3: Cross multiply
    690.11x = 1,036.19 × 677.81
  4. Step 4: Simplify right side
    690.11x = 702,334.59
  5. Step 5: Solve for x
    x = 702,334.59/690.11
  6. Step 6: Final answer
    x = 1,017.72

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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.