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Finding the Fourth Proportional to 500, 691.44 and 477.08

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Solution

The fourth proportional to 500, 691.44 and 477.08 is: 659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    500 : 691.44 = 477.08 : x
  2. Step 2: Convert to fraction form
    500/691.44 = 477.08/x
  3. Step 3: Cross multiply
    500x = 691.44 × 477.08
  4. Step 4: Simplify right side
    500x = 329,872.20
  5. Step 5: Solve for x
    x = 329,872.20/500
  6. Step 6: Final answer
    x = 659.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.