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Finding the Fourth Proportional to 709.93, 979.39 and 488.50

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Solution

The fourth proportional to 709.93, 979.39 and 488.50 is: 673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.93 : 979.39 = 488.50 : x
  2. Step 2: Convert to fraction form
    709.93/979.39 = 488.50/x
  3. Step 3: Cross multiply
    709.93x = 979.39 × 488.50
  4. Step 4: Simplify right side
    709.93x = 478,432.02
  5. Step 5: Solve for x
    x = 478,432.02/709.93
  6. Step 6: Final answer
    x = 673.91

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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.