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Finding the Fourth Proportional to 454.42, 679.53 and 337.51

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Solution

The fourth proportional to 454.42, 679.53 and 337.51 is: 504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.42 : 679.53 = 337.51 : x
  2. Step 2: Convert to fraction form
    454.42/679.53 = 337.51/x
  3. Step 3: Cross multiply
    454.42x = 679.53 × 337.51
  4. Step 4: Simplify right side
    454.42x = 229,344.77
  5. Step 5: Solve for x
    x = 229,344.77/454.42
  6. Step 6: Final answer
    x = 504.70

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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.