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Finding the Fourth Proportional to 848.70, 1,272.81 and 328.80

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Solution

The fourth proportional to 848.70, 1,272.81 and 328.80 is: 493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.70 : 1,272.81 = 328.80 : x
  2. Step 2: Convert to fraction form
    848.70/1,272.81 = 328.80/x
  3. Step 3: Cross multiply
    848.70x = 1,272.81 × 328.80
  4. Step 4: Simplify right side
    848.70x = 418,499.93
  5. Step 5: Solve for x
    x = 418,499.93/848.70
  6. Step 6: Final answer
    x = 493.11

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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.