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Finding the Fourth Proportional to 848.32, 1,272.96 and 762.88

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Solution

The fourth proportional to 848.32, 1,272.96 and 762.88 is: 1,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.32 : 1,272.96 = 762.88 : x
  2. Step 2: Convert to fraction form
    848.32/1,272.96 = 762.88/x
  3. Step 3: Cross multiply
    848.32x = 1,272.96 × 762.88
  4. Step 4: Simplify right side
    848.32x = 971,115.72
  5. Step 5: Solve for x
    x = 971,115.72/848.32
  6. Step 6: Final answer
    x = 1,144.75

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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.