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Finding the Fourth Proportional to 708.56, 978.60 and 446.78

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Solution

The fourth proportional to 708.56, 978.60 and 446.78 is: 617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.56 : 978.60 = 446.78 : x
  2. Step 2: Convert to fraction form
    708.56/978.60 = 446.78/x
  3. Step 3: Cross multiply
    708.56x = 978.60 × 446.78
  4. Step 4: Simplify right side
    708.56x = 437,218.91
  5. Step 5: Solve for x
    x = 437,218.91/708.56
  6. Step 6: Final answer
    x = 617.05

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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.