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Finding the Fourth Proportional to 1,264.60, 1,896.88 and 387.10

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Solution

The fourth proportional to 1,264.60, 1,896.88 and 387.10 is: 580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.60 : 1,896.88 = 387.10 : x
  2. Step 2: Convert to fraction form
    1,264.60/1,896.88 = 387.10/x
  3. Step 3: Cross multiply
    1,264.60x = 1,896.88 × 387.10
  4. Step 4: Simplify right side
    1,264.60x = 734,282.25
  5. Step 5: Solve for x
    x = 734,282.25/1,264.60
  6. Step 6: Final answer
    x = 580.64

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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.