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Finding the Fourth Proportional to 1,357.18, 2,035.08 and 662.81

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Solution

The fourth proportional to 1,357.18, 2,035.08 and 662.81 is: 993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.18 : 2,035.08 = 662.81 : x
  2. Step 2: Convert to fraction form
    1,357.18/2,035.08 = 662.81/x
  3. Step 3: Cross multiply
    1,357.18x = 2,035.08 × 662.81
  4. Step 4: Simplify right side
    1,357.18x = 1,348,868.79
  5. Step 5: Solve for x
    x = 1,348,868.79/1,357.18
  6. Step 6: Final answer
    x = 993.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.