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Finding the Fourth Proportional to 742.93, 1,114.83 and 332.10

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Solution

The fourth proportional to 742.93, 1,114.83 and 332.10 is: 498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.93 : 1,114.83 = 332.10 : x
  2. Step 2: Convert to fraction form
    742.93/1,114.83 = 332.10/x
  3. Step 3: Cross multiply
    742.93x = 1,114.83 × 332.10
  4. Step 4: Simplify right side
    742.93x = 370,235.04
  5. Step 5: Solve for x
    x = 370,235.04/742.93
  6. Step 6: Final answer
    x = 498.34

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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.