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Finding the Fourth Proportional to 754.80, 983.40 and 754.80

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Solution

The fourth proportional to 754.80, 983.40 and 754.80 is: 983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.80 : 983.40 = 754.80 : x
  2. Step 2: Convert to fraction form
    754.80/983.40 = 754.80/x
  3. Step 3: Cross multiply
    754.80x = 983.40 × 754.80
  4. Step 4: Simplify right side
    754.80x = 742,270.32
  5. Step 5: Solve for x
    x = 742,270.32/754.80
  6. Step 6: Final answer
    x = 983.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.