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Finding the Fourth Proportional to 712.60, 999.80 and 712.60

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Solution

The fourth proportional to 712.60, 999.80 and 712.60 is: 999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.60 : 999.80 = 712.60 : x
  2. Step 2: Convert to fraction form
    712.60/999.80 = 712.60/x
  3. Step 3: Cross multiply
    712.60x = 999.80 × 712.60
  4. Step 4: Simplify right side
    712.60x = 712,457.48
  5. Step 5: Solve for x
    x = 712,457.48/712.60
  6. Step 6: Final answer
    x = 999.80

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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.