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Finding the Fourth Proportional to 503.66, 754.14 and 422.66

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Solution

The fourth proportional to 503.66, 754.14 and 422.66 is: 632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.66 : 754.14 = 422.66 : x
  2. Step 2: Convert to fraction form
    503.66/754.14 = 422.66/x
  3. Step 3: Cross multiply
    503.66x = 754.14 × 422.66
  4. Step 4: Simplify right side
    503.66x = 318,744.81
  5. Step 5: Solve for x
    x = 318,744.81/503.66
  6. Step 6: Final answer
    x = 632.86

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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.