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Finding the Fourth Proportional to 1,098.65, 1,648.31 and 482.87

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Solution

The fourth proportional to 1,098.65, 1,648.31 and 482.87 is: 724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.65 : 1,648.31 = 482.87 : x
  2. Step 2: Convert to fraction form
    1,098.65/1,648.31 = 482.87/x
  3. Step 3: Cross multiply
    1,098.65x = 1,648.31 × 482.87
  4. Step 4: Simplify right side
    1,098.65x = 795,916.54
  5. Step 5: Solve for x
    x = 795,916.54/1,098.65
  6. Step 6: Final answer
    x = 724.45

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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.