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Finding the Fourth Proportional to 742.34, 1,113.70 and 255.44

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Solution

The fourth proportional to 742.34, 1,113.70 and 255.44 is: 383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.34 : 1,113.70 = 255.44 : x
  2. Step 2: Convert to fraction form
    742.34/1,113.70 = 255.44/x
  3. Step 3: Cross multiply
    742.34x = 1,113.70 × 255.44
  4. Step 4: Simplify right side
    742.34x = 284,483.53
  5. Step 5: Solve for x
    x = 284,483.53/742.34
  6. Step 6: Final answer
    x = 383.23

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1.5x scale

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.