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Finding the Fourth Proportional to 848.34, 1,272.66 and 409.17

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Solution

The fourth proportional to 848.34, 1,272.66 and 409.17 is: 613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.34 : 1,272.66 = 409.17 : x
  2. Step 2: Convert to fraction form
    848.34/1,272.66 = 409.17/x
  3. Step 3: Cross multiply
    848.34x = 1,272.66 × 409.17
  4. Step 4: Simplify right side
    848.34x = 520,734.29
  5. Step 5: Solve for x
    x = 520,734.29/848.34
  6. Step 6: Final answer
    x = 613.83

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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.