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Finding the Fourth Proportional to 1,101.42, 1,518.84 and 728.01

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Solution

The fourth proportional to 1,101.42, 1,518.84 and 728.01 is: 1,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.42 : 1,518.84 = 728.01 : x
  2. Step 2: Convert to fraction form
    1,101.42/1,518.84 = 728.01/x
  3. Step 3: Cross multiply
    1,101.42x = 1,518.84 × 728.01
  4. Step 4: Simplify right side
    1,101.42x = 1,105,730.71
  5. Step 5: Solve for x
    x = 1,105,730.71/1,101.42
  6. Step 6: Final answer
    x = 1,003.91

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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.