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Finding the Fourth Proportional to 712.80, 963 and 712.80

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Solution

The fourth proportional to 712.80, 963 and 712.80 is: 963.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.80 : 963 = 712.80 : x
  2. Step 2: Convert to fraction form
    712.80/963 = 712.80/x
  3. Step 3: Cross multiply
    712.80x = 963 × 712.80
  4. Step 4: Simplify right side
    712.80x = 686,426.40
  5. Step 5: Solve for x
    x = 686,426.40/712.80
  6. Step 6: Final answer
    x = 963.00

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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.