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Finding the Fourth Proportional to 983.69, 1,356.45 and 734.61

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Solution

The fourth proportional to 983.69, 1,356.45 and 734.61 is: 1,012.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.69 : 1,356.45 = 734.61 : x
  2. Step 2: Convert to fraction form
    983.69/1,356.45 = 734.61/x
  3. Step 3: Cross multiply
    983.69x = 1,356.45 × 734.61
  4. Step 4: Simplify right side
    983.69x = 996,461.73
  5. Step 5: Solve for x
    x = 996,461.73/983.69
  6. Step 6: Final answer
    x = 1,012.99

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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.