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Finding the Fourth Proportional to 690.97, 1,036.81 and 306.13

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Solution

The fourth proportional to 690.97, 1,036.81 and 306.13 is: 459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.97 : 1,036.81 = 306.13 : x
  2. Step 2: Convert to fraction form
    690.97/1,036.81 = 306.13/x
  3. Step 3: Cross multiply
    690.97x = 1,036.81 × 306.13
  4. Step 4: Simplify right side
    690.97x = 317,392.70
  5. Step 5: Solve for x
    x = 317,392.70/690.97
  6. Step 6: Final answer
    x = 459.35

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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.