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Finding the Fourth Proportional to 709.15, 978.87 and 488.83

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Solution

The fourth proportional to 709.15, 978.87 and 488.83 is: 674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.15 : 978.87 = 488.83 : x
  2. Step 2: Convert to fraction form
    709.15/978.87 = 488.83/x
  3. Step 3: Cross multiply
    709.15x = 978.87 × 488.83
  4. Step 4: Simplify right side
    709.15x = 478,501.02
  5. Step 5: Solve for x
    x = 478,501.02/709.15
  6. Step 6: Final answer
    x = 674.75

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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.