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Finding the Fourth Proportional to 983.39, 1,357.89 and 878.29

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Solution

The fourth proportional to 983.39, 1,357.89 and 878.29 is: 1,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.39 : 1,357.89 = 878.29 : x
  2. Step 2: Convert to fraction form
    983.39/1,357.89 = 878.29/x
  3. Step 3: Cross multiply
    983.39x = 1,357.89 × 878.29
  4. Step 4: Simplify right side
    983.39x = 1,192,617.81
  5. Step 5: Solve for x
    x = 1,192,617.81/983.39
  6. Step 6: Final answer
    x = 1,212.77

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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.