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Finding the Fourth Proportional to 742.89, 1,025.24 and 428.21

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Solution

The fourth proportional to 742.89, 1,025.24 and 428.21 is: 590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.89 : 1,025.24 = 428.21 : x
  2. Step 2: Convert to fraction form
    742.89/1,025.24 = 428.21/x
  3. Step 3: Cross multiply
    742.89x = 1,025.24 × 428.21
  4. Step 4: Simplify right side
    742.89x = 439,018.02
  5. Step 5: Solve for x
    x = 439,018.02/742.89
  6. Step 6: Final answer
    x = 590.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.