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Finding the Fourth Proportional to 708.77, 978.16 and 394.02

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Solution

The fourth proportional to 708.77, 978.16 and 394.02 is: 543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.77 : 978.16 = 394.02 : x
  2. Step 2: Convert to fraction form
    708.77/978.16 = 394.02/x
  3. Step 3: Cross multiply
    708.77x = 978.16 × 394.02
  4. Step 4: Simplify right side
    708.77x = 385,417.05
  5. Step 5: Solve for x
    x = 385,417.05/708.77
  6. Step 6: Final answer
    x = 543.78

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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.