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Finding the Fourth Proportional to 1,681.12, 2,521.82 and 448.53

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Solution

The fourth proportional to 1,681.12, 2,521.82 and 448.53 is: 672.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.12 : 2,521.82 = 448.53 : x
  2. Step 2: Convert to fraction form
    1,681.12/2,521.82 = 448.53/x
  3. Step 3: Cross multiply
    1,681.12x = 2,521.82 × 448.53
  4. Step 4: Simplify right side
    1,681.12x = 1,131,111.92
  5. Step 5: Solve for x
    x = 1,131,111.92/1,681.12
  6. Step 6: Final answer
    x = 672.83

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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.