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Finding the Fourth Proportional to 1,648.65, 2,472.94 and 416.06

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Solution

The fourth proportional to 1,648.65, 2,472.94 and 416.06 is: 624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.65 : 2,472.94 = 416.06 : x
  2. Step 2: Convert to fraction form
    1,648.65/2,472.94 = 416.06/x
  3. Step 3: Cross multiply
    1,648.65x = 2,472.94 × 416.06
  4. Step 4: Simplify right side
    1,648.65x = 1,028,891.42
  5. Step 5: Solve for x
    x = 1,028,891.42/1,648.65
  6. Step 6: Final answer
    x = 624.08

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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.