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Finding the Fourth Proportional to 1,343.83, 1,854.61 and 784.19

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Solution

The fourth proportional to 1,343.83, 1,854.61 and 784.19 is: 1,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.83 : 1,854.61 = 784.19 : x
  2. Step 2: Convert to fraction form
    1,343.83/1,854.61 = 784.19/x
  3. Step 3: Cross multiply
    1,343.83x = 1,854.61 × 784.19
  4. Step 4: Simplify right side
    1,343.83x = 1,454,366.62
  5. Step 5: Solve for x
    x = 1,454,366.62/1,343.83
  6. Step 6: Final answer
    x = 1,082.25

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