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Finding the Fourth Proportional to 1,483.18, 2,046.81 and 862.18

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Solution

The fourth proportional to 1,483.18, 2,046.81 and 862.18 is: 1,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.18 : 2,046.81 = 862.18 : x
  2. Step 2: Convert to fraction form
    1,483.18/2,046.81 = 862.18/x
  3. Step 3: Cross multiply
    1,483.18x = 2,046.81 × 862.18
  4. Step 4: Simplify right side
    1,483.18x = 1,764,718.65
  5. Step 5: Solve for x
    x = 1,764,718.65/1,483.18
  6. Step 6: Final answer
    x = 1,189.82

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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.