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Finding the Fourth Proportional to 704.69, 972.80 and 409.90

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Solution

The fourth proportional to 704.69, 972.80 and 409.90 is: 565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.69 : 972.80 = 409.90 : x
  2. Step 2: Convert to fraction form
    704.69/972.80 = 409.90/x
  3. Step 3: Cross multiply
    704.69x = 972.80 × 409.90
  4. Step 4: Simplify right side
    704.69x = 398,750.72
  5. Step 5: Solve for x
    x = 398,750.72/704.69
  6. Step 6: Final answer
    x = 565.85

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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.