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Finding the Fourth Proportional to 708.60, 977.91 and 409.89

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Solution

The fourth proportional to 708.60, 977.91 and 409.89 is: 565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.60 : 977.91 = 409.89 : x
  2. Step 2: Convert to fraction form
    708.60/977.91 = 409.89/x
  3. Step 3: Cross multiply
    708.60x = 977.91 × 409.89
  4. Step 4: Simplify right side
    708.60x = 400,837.66
  5. Step 5: Solve for x
    x = 400,837.66/708.60
  6. Step 6: Final answer
    x = 565.68

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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.