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Finding the Fourth Proportional to 497, 741.45 and 455.56

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Solution

The fourth proportional to 497, 741.45 and 455.56 is: 679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497 : 741.45 = 455.56 : x
  2. Step 2: Convert to fraction form
    497/741.45 = 455.56/x
  3. Step 3: Cross multiply
    497x = 741.45 × 455.56
  4. Step 4: Simplify right side
    497x = 337,774.96
  5. Step 5: Solve for x
    x = 337,774.96/497
  6. Step 6: Final answer
    x = 679.63

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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.