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Finding the Fourth Proportional to 983.01, 1,356.14 and 720.57

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Solution

The fourth proportional to 983.01, 1,356.14 and 720.57 is: 994.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.01 : 1,356.14 = 720.57 : x
  2. Step 2: Convert to fraction form
    983.01/1,356.14 = 720.57/x
  3. Step 3: Cross multiply
    983.01x = 1,356.14 × 720.57
  4. Step 4: Simplify right side
    983.01x = 977,190.20
  5. Step 5: Solve for x
    x = 977,190.20/983.01
  6. Step 6: Final answer
    x = 994.08

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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.