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Finding the Fourth Proportional to 552.24, 762.48 and 428.40

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Solution

The fourth proportional to 552.24, 762.48 and 428.40 is: 591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.24 : 762.48 = 428.40 : x
  2. Step 2: Convert to fraction form
    552.24/762.48 = 428.40/x
  3. Step 3: Cross multiply
    552.24x = 762.48 × 428.40
  4. Step 4: Simplify right side
    552.24x = 326,646.43
  5. Step 5: Solve for x
    x = 326,646.43/552.24
  6. Step 6: Final answer
    x = 591.49

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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.