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Finding the Fourth Proportional to 703.01, 1,053.79 and 338.05

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Solution

The fourth proportional to 703.01, 1,053.79 and 338.05 is: 506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.01 : 1,053.79 = 338.05 : x
  2. Step 2: Convert to fraction form
    703.01/1,053.79 = 338.05/x
  3. Step 3: Cross multiply
    703.01x = 1,053.79 × 338.05
  4. Step 4: Simplify right side
    703.01x = 356,233.71
  5. Step 5: Solve for x
    x = 356,233.71/703.01
  6. Step 6: Final answer
    x = 506.73

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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.