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Finding the Fourth Proportional to 848.20, 1,170.66 and 499.06

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Solution

The fourth proportional to 848.20, 1,170.66 and 499.06 is: 688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.20 : 1,170.66 = 499.06 : x
  2. Step 2: Convert to fraction form
    848.20/1,170.66 = 499.06/x
  3. Step 3: Cross multiply
    848.20x = 1,170.66 × 499.06
  4. Step 4: Simplify right side
    848.20x = 584,229.58
  5. Step 5: Solve for x
    x = 584,229.58/848.20
  6. Step 6: Final answer
    x = 688.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.