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Finding the Fourth Proportional to 983.43, 1,357.16 and 563.74

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Solution

The fourth proportional to 983.43, 1,357.16 and 563.74 is: 777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.43 : 1,357.16 = 563.74 : x
  2. Step 2: Convert to fraction form
    983.43/1,357.16 = 563.74/x
  3. Step 3: Cross multiply
    983.43x = 1,357.16 × 563.74
  4. Step 4: Simplify right side
    983.43x = 765,085.38
  5. Step 5: Solve for x
    x = 765,085.38/983.43
  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.