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Finding the Fourth Proportional to 497.22, 690.05 and 477.42

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Solution

The fourth proportional to 497.22, 690.05 and 477.42 is: 662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.22 : 690.05 = 477.42 : x
  2. Step 2: Convert to fraction form
    497.22/690.05 = 477.42/x
  3. Step 3: Cross multiply
    497.22x = 690.05 × 477.42
  4. Step 4: Simplify right side
    497.22x = 329,441.28
  5. Step 5: Solve for x
    x = 329,441.28/497.22
  6. Step 6: Final answer
    x = 662.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.