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Finding the Fourth Proportional to 742.40, 983.04 and 742.40

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Solution

The fourth proportional to 742.40, 983.04 and 742.40 is: 983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.40 : 983.04 = 742.40 : x
  2. Step 2: Convert to fraction form
    742.40/983.04 = 742.40/x
  3. Step 3: Cross multiply
    742.40x = 983.04 × 742.40
  4. Step 4: Simplify right side
    742.40x = 729,808.90
  5. Step 5: Solve for x
    x = 729,808.90/742.40
  6. Step 6: Final answer
    x = 983.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.