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Finding the Fourth Proportional to 848.47, 1,272.44 and 328.43

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Solution

The fourth proportional to 848.47, 1,272.44 and 328.43 is: 492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.47 : 1,272.44 = 328.43 : x
  2. Step 2: Convert to fraction form
    848.47/1,272.44 = 328.43/x
  3. Step 3: Cross multiply
    848.47x = 1,272.44 × 328.43
  4. Step 4: Simplify right side
    848.47x = 417,909.01
  5. Step 5: Solve for x
    x = 417,909.01/848.47
  6. Step 6: Final answer
    x = 492.55

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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.