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Finding the Fourth Proportional to 494.64, 737.56 and 437.08

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Solution

The fourth proportional to 494.64, 737.56 and 437.08 is: 651.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.64 : 737.56 = 437.08 : x
  2. Step 2: Convert to fraction form
    494.64/737.56 = 437.08/x
  3. Step 3: Cross multiply
    494.64x = 737.56 × 437.08
  4. Step 4: Simplify right side
    494.64x = 322,372.72
  5. Step 5: Solve for x
    x = 322,372.72/494.64
  6. Step 6: Final answer
    x = 651.73

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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.