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Finding the Fourth Proportional to 704.72, 972.08 and 452.54

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Solution

The fourth proportional to 704.72, 972.08 and 452.54 is: 624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.72 : 972.08 = 452.54 : x
  2. Step 2: Convert to fraction form
    704.72/972.08 = 452.54/x
  3. Step 3: Cross multiply
    704.72x = 972.08 × 452.54
  4. Step 4: Simplify right side
    704.72x = 439,897.96
  5. Step 5: Solve for x
    x = 439,897.96/704.72
  6. Step 6: Final answer
    x = 624.22

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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.