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Finding the Fourth Proportional to 704.56, 972.50 and 409.94

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Solution

The fourth proportional to 704.56, 972.50 and 409.94 is: 565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.56 : 972.50 = 409.94 : x
  2. Step 2: Convert to fraction form
    704.56/972.50 = 409.94/x
  3. Step 3: Cross multiply
    704.56x = 972.50 × 409.94
  4. Step 4: Simplify right side
    704.56x = 398,666.65
  5. Step 5: Solve for x
    x = 398,666.65/704.56
  6. Step 6: Final answer
    x = 565.84

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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.