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Finding the Fourth Proportional to 712.40, 995.20 and 712.40

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Solution

The fourth proportional to 712.40, 995.20 and 712.40 is: 995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.40 : 995.20 = 712.40 : x
  2. Step 2: Convert to fraction form
    712.40/995.20 = 712.40/x
  3. Step 3: Cross multiply
    712.40x = 995.20 × 712.40
  4. Step 4: Simplify right side
    712.40x = 708,980.48
  5. Step 5: Solve for x
    x = 708,980.48/712.40
  6. Step 6: Final answer
    x = 995.20

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.