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Finding the Fourth Proportional to 1,318.33, 1,977.34 and 824.79

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Solution

The fourth proportional to 1,318.33, 1,977.34 and 824.79 is: 1,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.33 : 1,977.34 = 824.79 : x
  2. Step 2: Convert to fraction form
    1,318.33/1,977.34 = 824.79/x
  3. Step 3: Cross multiply
    1,318.33x = 1,977.34 × 824.79
  4. Step 4: Simplify right side
    1,318.33x = 1,630,880.47
  5. Step 5: Solve for x
    x = 1,630,880.47/1,318.33
  6. Step 6: Final answer
    x = 1,237.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.