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Finding the Fourth Proportional to 971.58, 1,340.91 and 823.62

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Solution

The fourth proportional to 971.58, 1,340.91 and 823.62 is: 1,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.58 : 1,340.91 = 823.62 : x
  2. Step 2: Convert to fraction form
    971.58/1,340.91 = 823.62/x
  3. Step 3: Cross multiply
    971.58x = 1,340.91 × 823.62
  4. Step 4: Simplify right side
    971.58x = 1,104,400.29
  5. Step 5: Solve for x
    x = 1,104,400.29/971.58
  6. Step 6: Final answer
    x = 1,136.71

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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.