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Finding the Fourth Proportional to 983.11, 1,356.12 and 589.90

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Solution

The fourth proportional to 983.11, 1,356.12 and 589.90 is: 813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.11 : 1,356.12 = 589.90 : x
  2. Step 2: Convert to fraction form
    983.11/1,356.12 = 589.90/x
  3. Step 3: Cross multiply
    983.11x = 1,356.12 × 589.90
  4. Step 4: Simplify right side
    983.11x = 799,975.19
  5. Step 5: Solve for x
    x = 799,975.19/983.11
  6. Step 6: Final answer
    x = 813.72

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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.