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Finding the Fourth Proportional to 1,343.16, 1,853.28 and 970.97

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Solution

The fourth proportional to 1,343.16, 1,853.28 and 970.97 is: 1,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.16 : 1,853.28 = 970.97 : x
  2. Step 2: Convert to fraction form
    1,343.16/1,853.28 = 970.97/x
  3. Step 3: Cross multiply
    1,343.16x = 1,853.28 × 970.97
  4. Step 4: Simplify right side
    1,343.16x = 1,799,470.02
  5. Step 5: Solve for x
    x = 1,799,470.02/1,343.16
  6. Step 6: Final answer
    x = 1,339.73

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1.5x scale

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.