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Finding the Fourth Proportional to 983.13, 1,356.11 and 651.43

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Solution

The fourth proportional to 983.13, 1,356.11 and 651.43 is: 898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.13 : 1,356.11 = 651.43 : x
  2. Step 2: Convert to fraction form
    983.13/1,356.11 = 651.43/x
  3. Step 3: Cross multiply
    983.13x = 1,356.11 × 651.43
  4. Step 4: Simplify right side
    983.13x = 883,407.48
  5. Step 5: Solve for x
    x = 883,407.48/983.13
  6. Step 6: Final answer
    x = 898.57

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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.