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Finding the Fourth Proportional to 1,215.52, 1,677.99 and 823.18

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Solution

The fourth proportional to 1,215.52, 1,677.99 and 823.18 is: 1,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.52 : 1,677.99 = 823.18 : x
  2. Step 2: Convert to fraction form
    1,215.52/1,677.99 = 823.18/x
  3. Step 3: Cross multiply
    1,215.52x = 1,677.99 × 823.18
  4. Step 4: Simplify right side
    1,215.52x = 1,381,287.81
  5. Step 5: Solve for x
    x = 1,381,287.81/1,215.52
  6. Step 6: Final answer
    x = 1,136.38

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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.