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Finding the Fourth Proportional to 1,279.61, 1,766 and 720.23

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Solution

The fourth proportional to 1,279.61, 1,766 and 720.23 is: 994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.61 : 1,766 = 720.23 : x
  2. Step 2: Convert to fraction form
    1,279.61/1,766 = 720.23/x
  3. Step 3: Cross multiply
    1,279.61x = 1,766 × 720.23
  4. Step 4: Simplify right side
    1,279.61x = 1,271,926.18
  5. Step 5: Solve for x
    x = 1,271,926.18/1,279.61
  6. Step 6: Final answer
    x = 994.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.