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Finding the Fourth Proportional to 708.93, 1,061.97 and 339.09

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Solution

The fourth proportional to 708.93, 1,061.97 and 339.09 is: 507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.93 : 1,061.97 = 339.09 : x
  2. Step 2: Convert to fraction form
    708.93/1,061.97 = 339.09/x
  3. Step 3: Cross multiply
    708.93x = 1,061.97 × 339.09
  4. Step 4: Simplify right side
    708.93x = 360,103.41
  5. Step 5: Solve for x
    x = 360,103.41/708.93
  6. Step 6: Final answer
    x = 507.95

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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.