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Finding the Fourth Proportional to 704.10, 971.80 and 442.74

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Solution

The fourth proportional to 704.10, 971.80 and 442.74 is: 611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.10 : 971.80 = 442.74 : x
  2. Step 2: Convert to fraction form
    704.10/971.80 = 442.74/x
  3. Step 3: Cross multiply
    704.10x = 971.80 × 442.74
  4. Step 4: Simplify right side
    704.10x = 430,254.73
  5. Step 5: Solve for x
    x = 430,254.73/704.10
  6. Step 6: Final answer
    x = 611.07

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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.