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Finding the Fourth Proportional to 704.77, 972.34 and 409.80

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Solution

The fourth proportional to 704.77, 972.34 and 409.80 is: 565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.77 : 972.34 = 409.80 : x
  2. Step 2: Convert to fraction form
    704.77/972.34 = 409.80/x
  3. Step 3: Cross multiply
    704.77x = 972.34 × 409.80
  4. Step 4: Simplify right side
    704.77x = 398,464.93
  5. Step 5: Solve for x
    x = 398,464.93/704.77
  6. Step 6: Final answer
    x = 565.38

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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.