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Finding the Fourth Proportional to 497.88, 743.76 and 420.48

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Solution

The fourth proportional to 497.88, 743.76 and 420.48 is: 628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.88 : 743.76 = 420.48 : x
  2. Step 2: Convert to fraction form
    497.88/743.76 = 420.48/x
  3. Step 3: Cross multiply
    497.88x = 743.76 × 420.48
  4. Step 4: Simplify right side
    497.88x = 312,736.20
  5. Step 5: Solve for x
    x = 312,736.20/497.88
  6. Step 6: Final answer
    x = 628.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.