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Finding the Fourth Proportional to 983.20, 1,330.20 and 983.20

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Solution

The fourth proportional to 983.20, 1,330.20 and 983.20 is: 1,330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.20 : 1,330.20 = 983.20 : x
  2. Step 2: Convert to fraction form
    983.20/1,330.20 = 983.20/x
  3. Step 3: Cross multiply
    983.20x = 1,330.20 × 983.20
  4. Step 4: Simplify right side
    983.20x = 1,307,852.64
  5. Step 5: Solve for x
    x = 1,307,852.64/983.20
  6. Step 6: Final answer
    x = 1,330.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.