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Finding the Fourth Proportional to 712.19, 983.10 and 689.12

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Solution

The fourth proportional to 712.19, 983.10 and 689.12 is: 951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.19 : 983.10 = 689.12 : x
  2. Step 2: Convert to fraction form
    712.19/983.10 = 689.12/x
  3. Step 3: Cross multiply
    712.19x = 983.10 × 689.12
  4. Step 4: Simplify right side
    712.19x = 677,473.87
  5. Step 5: Solve for x
    x = 677,473.87/712.19
  6. Step 6: Final answer
    x = 951.25

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Double scale
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1.5x scale

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.