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Finding the Fourth Proportional to 1,257.72, 1,886.57 and 477.28

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Solution

The fourth proportional to 1,257.72, 1,886.57 and 477.28 is: 715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.72 : 1,886.57 = 477.28 : x
  2. Step 2: Convert to fraction form
    1,257.72/1,886.57 = 477.28/x
  3. Step 3: Cross multiply
    1,257.72x = 1,886.57 × 477.28
  4. Step 4: Simplify right side
    1,257.72x = 900,422.13
  5. Step 5: Solve for x
    x = 900,422.13/1,257.72
  6. Step 6: Final answer
    x = 715.92

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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.