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Finding the Fourth Proportional to 1,218.51, 1,678.86 and 824.85

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Solution

The fourth proportional to 1,218.51, 1,678.86 and 824.85 is: 1,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.51 : 1,678.86 = 824.85 : x
  2. Step 2: Convert to fraction form
    1,218.51/1,678.86 = 824.85/x
  3. Step 3: Cross multiply
    1,218.51x = 1,678.86 × 824.85
  4. Step 4: Simplify right side
    1,218.51x = 1,384,807.67
  5. Step 5: Solve for x
    x = 1,384,807.67/1,218.51
  6. Step 6: Final answer
    x = 1,136.48

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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.