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Finding the Fourth Proportional to 1,343.20, 1,853.66 and 783.72

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Solution

The fourth proportional to 1,343.20, 1,853.66 and 783.72 is: 1,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.20 : 1,853.66 = 783.72 : x
  2. Step 2: Convert to fraction form
    1,343.20/1,853.66 = 783.72/x
  3. Step 3: Cross multiply
    1,343.20x = 1,853.66 × 783.72
  4. Step 4: Simplify right side
    1,343.20x = 1,452,750.42
  5. Step 5: Solve for x
    x = 1,452,750.42/1,343.20
  6. Step 6: Final answer
    x = 1,081.56

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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.