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Finding the Fourth Proportional to 983.70, 1,357.17 and 563.90

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Solution

The fourth proportional to 983.70, 1,357.17 and 563.90 is: 777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.70 : 1,357.17 = 563.90 : x
  2. Step 2: Convert to fraction form
    983.70/1,357.17 = 563.90/x
  3. Step 3: Cross multiply
    983.70x = 1,357.17 × 563.90
  4. Step 4: Simplify right side
    983.70x = 765,301.38
  5. Step 5: Solve for x
    x = 765,301.38/983.70
  6. Step 6: Final answer
    x = 777.98

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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.