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Finding the Fourth Proportional to 983.32, 1,357.86 and 734.21

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Solution

The fourth proportional to 983.32, 1,357.86 and 734.21 is: 1,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.32 : 1,357.86 = 734.21 : x
  2. Step 2: Convert to fraction form
    983.32/1,357.86 = 734.21/x
  3. Step 3: Cross multiply
    983.32x = 1,357.86 × 734.21
  4. Step 4: Simplify right side
    983.32x = 996,956.41
  5. Step 5: Solve for x
    x = 996,956.41/983.32
  6. Step 6: Final answer
    x = 1,013.87

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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.