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Finding the Fourth Proportional to 983.04, 1,356.01 and 717.12

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Solution

The fourth proportional to 983.04, 1,356.01 and 717.12 is: 989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.04 : 1,356.01 = 717.12 : x
  2. Step 2: Convert to fraction form
    983.04/1,356.01 = 717.12/x
  3. Step 3: Cross multiply
    983.04x = 1,356.01 × 717.12
  4. Step 4: Simplify right side
    983.04x = 972,420.10
  5. Step 5: Solve for x
    x = 972,420.10/983.04
  6. Step 6: Final answer
    x = 989.20

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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.