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Finding the Fourth Proportional to 1,144.38, 1,722.81 and 781.46

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Solution

The fourth proportional to 1,144.38, 1,722.81 and 781.46 is: 1,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.38 : 1,722.81 = 781.46 : x
  2. Step 2: Convert to fraction form
    1,144.38/1,722.81 = 781.46/x
  3. Step 3: Cross multiply
    1,144.38x = 1,722.81 × 781.46
  4. Step 4: Simplify right side
    1,144.38x = 1,346,307.10
  5. Step 5: Solve for x
    x = 1,346,307.10/1,144.38
  6. Step 6: Final answer
    x = 1,176.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.