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Finding the Fourth Proportional to 734.83, 1,101.98 and 318.31

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Solution

The fourth proportional to 734.83, 1,101.98 and 318.31 is: 477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.83 : 1,101.98 = 318.31 : x
  2. Step 2: Convert to fraction form
    734.83/1,101.98 = 318.31/x
  3. Step 3: Cross multiply
    734.83x = 1,101.98 × 318.31
  4. Step 4: Simplify right side
    734.83x = 350,769.66
  5. Step 5: Solve for x
    x = 350,769.66/734.83
  6. Step 6: Final answer
    x = 477.35

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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.