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Finding the Fourth Proportional to 1,253.79, 1,880.98 and 376.29

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Solution

The fourth proportional to 1,253.79, 1,880.98 and 376.29 is: 564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.79 : 1,880.98 = 376.29 : x
  2. Step 2: Convert to fraction form
    1,253.79/1,880.98 = 376.29/x
  3. Step 3: Cross multiply
    1,253.79x = 1,880.98 × 376.29
  4. Step 4: Simplify right side
    1,253.79x = 707,790.38
  5. Step 5: Solve for x
    x = 707,790.38/1,253.79
  6. Step 6: Final answer
    x = 564.52

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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.