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Finding the Fourth Proportional to 704.18, 1,056.29 and 293.22

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Solution

The fourth proportional to 704.18, 1,056.29 and 293.22 is: 439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.18 : 1,056.29 = 293.22 : x
  2. Step 2: Convert to fraction form
    704.18/1,056.29 = 293.22/x
  3. Step 3: Cross multiply
    704.18x = 1,056.29 × 293.22
  4. Step 4: Simplify right side
    704.18x = 309,723.89
  5. Step 5: Solve for x
    x = 309,723.89/704.18
  6. Step 6: Final answer
    x = 439.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.