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Finding the Fourth Proportional to 983.80, 1,466.78 and 958.15

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Solution

The fourth proportional to 983.80, 1,466.78 and 958.15 is: 1,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.80 : 1,466.78 = 958.15 : x
  2. Step 2: Convert to fraction form
    983.80/1,466.78 = 958.15/x
  3. Step 3: Cross multiply
    983.80x = 1,466.78 × 958.15
  4. Step 4: Simplify right side
    983.80x = 1,405,395.26
  5. Step 5: Solve for x
    x = 1,405,395.26/983.80
  6. Step 6: Final answer
    x = 1,428.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.