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Finding the Fourth Proportional to 848.54, 1,272.69 and 328.78

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Solution

The fourth proportional to 848.54, 1,272.69 and 328.78 is: 493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.54 : 1,272.69 = 328.78 : x
  2. Step 2: Convert to fraction form
    848.54/1,272.69 = 328.78/x
  3. Step 3: Cross multiply
    848.54x = 1,272.69 × 328.78
  4. Step 4: Simplify right side
    848.54x = 418,435.02
  5. Step 5: Solve for x
    x = 418,435.02/848.54
  6. Step 6: Final answer
    x = 493.12

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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.