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Finding the Fourth Proportional to 704.56, 972.02 and 409.72

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Solution

The fourth proportional to 704.56, 972.02 and 409.72 is: 565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.56 : 972.02 = 409.72 : x
  2. Step 2: Convert to fraction form
    704.56/972.02 = 409.72/x
  3. Step 3: Cross multiply
    704.56x = 972.02 × 409.72
  4. Step 4: Simplify right side
    704.56x = 398,256.03
  5. Step 5: Solve for x
    x = 398,256.03/704.56
  6. Step 6: Final answer
    x = 565.25

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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.