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Finding the Fourth Proportional to 728.10, 986.18 and 728.10

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Solution

The fourth proportional to 728.10, 986.18 and 728.10 is: 986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.10 : 986.18 = 728.10 : x
  2. Step 2: Convert to fraction form
    728.10/986.18 = 728.10/x
  3. Step 3: Cross multiply
    728.10x = 986.18 × 728.10
  4. Step 4: Simplify right side
    728.10x = 718,034.02
  5. Step 5: Solve for x
    x = 718,034.02/728.10
  6. Step 6: Final answer
    x = 986.18

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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.