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Finding the Fourth Proportional to 708.78, 1,062.21 and 342.84

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Solution

The fourth proportional to 708.78, 1,062.21 and 342.84 is: 513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.78 : 1,062.21 = 342.84 : x
  2. Step 2: Convert to fraction form
    708.78/1,062.21 = 342.84/x
  3. Step 3: Cross multiply
    708.78x = 1,062.21 × 342.84
  4. Step 4: Simplify right side
    708.78x = 364,168.08
  5. Step 5: Solve for x
    x = 364,168.08/708.78
  6. Step 6: Final answer
    x = 513.80

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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.