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Finding the Fourth Proportional to 494.64, 739.08 and 471.96

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Solution

The fourth proportional to 494.64, 739.08 and 471.96 is: 705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.64 : 739.08 = 471.96 : x
  2. Step 2: Convert to fraction form
    494.64/739.08 = 471.96/x
  3. Step 3: Cross multiply
    494.64x = 739.08 × 471.96
  4. Step 4: Simplify right side
    494.64x = 348,816.20
  5. Step 5: Solve for x
    x = 348,816.20/494.64
  6. Step 6: Final answer
    x = 705.19

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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.