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Finding the Fourth Proportional to 885.68, 1,319.62 and 836

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Solution

The fourth proportional to 885.68, 1,319.62 and 836 is: 1,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.68 : 1,319.62 = 836 : x
  2. Step 2: Convert to fraction form
    885.68/1,319.62 = 836/x
  3. Step 3: Cross multiply
    885.68x = 1,319.62 × 836
  4. Step 4: Simplify right side
    885.68x = 1,103,202.32
  5. Step 5: Solve for x
    x = 1,103,202.32/885.68
  6. Step 6: Final answer
    x = 1,245.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.