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Finding the Fourth Proportional to 704.34, 972.45 and 442.82

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Solution

The fourth proportional to 704.34, 972.45 and 442.82 is: 611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.34 : 972.45 = 442.82 : x
  2. Step 2: Convert to fraction form
    704.34/972.45 = 442.82/x
  3. Step 3: Cross multiply
    704.34x = 972.45 × 442.82
  4. Step 4: Simplify right side
    704.34x = 430,615.45
  5. Step 5: Solve for x
    x = 430,615.45/704.34
  6. Step 6: Final answer
    x = 611.37

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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.