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Finding the Fourth Proportional to 1,306.61, 1,959.83 and 613.43

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Solution

The fourth proportional to 1,306.61, 1,959.83 and 613.43 is: 920.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.61 : 1,959.83 = 613.43 : x
  2. Step 2: Convert to fraction form
    1,306.61/1,959.83 = 613.43/x
  3. Step 3: Cross multiply
    1,306.61x = 1,959.83 × 613.43
  4. Step 4: Simplify right side
    1,306.61x = 1,202,205.65
  5. Step 5: Solve for x
    x = 1,202,205.65/1,306.61
  6. Step 6: Final answer
    x = 920.10

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1.5x scale

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.