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Finding the Fourth Proportional to 704.03, 1,056.27 and 338.84

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Solution

The fourth proportional to 704.03, 1,056.27 and 338.84 is: 508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.03 : 1,056.27 = 338.84 : x
  2. Step 2: Convert to fraction form
    704.03/1,056.27 = 338.84/x
  3. Step 3: Cross multiply
    704.03x = 1,056.27 × 338.84
  4. Step 4: Simplify right side
    704.03x = 357,906.53
  5. Step 5: Solve for x
    x = 357,906.53/704.03
  6. Step 6: Final answer
    x = 508.37

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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.