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Finding the Fourth Proportional to 1,098.50, 1,648.40 and 405.65

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Solution

The fourth proportional to 1,098.50, 1,648.40 and 405.65 is: 608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.50 : 1,648.40 = 405.65 : x
  2. Step 2: Convert to fraction form
    1,098.50/1,648.40 = 405.65/x
  3. Step 3: Cross multiply
    1,098.50x = 1,648.40 × 405.65
  4. Step 4: Simplify right side
    1,098.50x = 668,673.46
  5. Step 5: Solve for x
    x = 668,673.46/1,098.50
  6. Step 6: Final answer
    x = 608.72

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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.