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Finding the Fourth Proportional to 742.42, 1,114.14 and 309.58

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Solution

The fourth proportional to 742.42, 1,114.14 and 309.58 is: 464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.42 : 1,114.14 = 309.58 : x
  2. Step 2: Convert to fraction form
    742.42/1,114.14 = 309.58/x
  3. Step 3: Cross multiply
    742.42x = 1,114.14 × 309.58
  4. Step 4: Simplify right side
    742.42x = 344,915.46
  5. Step 5: Solve for x
    x = 344,915.46/742.42
  6. Step 6: Final answer
    x = 464.58

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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.