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Finding the Fourth Proportional to 1,252.61, 1,878.29 and 419.38

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Solution

The fourth proportional to 1,252.61, 1,878.29 and 419.38 is: 628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.61 : 1,878.29 = 419.38 : x
  2. Step 2: Convert to fraction form
    1,252.61/1,878.29 = 419.38/x
  3. Step 3: Cross multiply
    1,252.61x = 1,878.29 × 419.38
  4. Step 4: Simplify right side
    1,252.61x = 787,712.04
  5. Step 5: Solve for x
    x = 787,712.04/1,252.61
  6. Step 6: Final answer
    x = 628.85

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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.