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Finding the Fourth Proportional to 704.96, 972.42 and 442.76

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Solution

The fourth proportional to 704.96, 972.42 and 442.76 is: 610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.96 : 972.42 = 442.76 : x
  2. Step 2: Convert to fraction form
    704.96/972.42 = 442.76/x
  3. Step 3: Cross multiply
    704.96x = 972.42 × 442.76
  4. Step 4: Simplify right side
    704.96x = 430,548.68
  5. Step 5: Solve for x
    x = 430,548.68/704.96
  6. Step 6: Final answer
    x = 610.74

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1.5x scale

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.