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Finding the Fourth Proportional to 503.10, 758.45 and 422.45

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Solution

The fourth proportional to 503.10, 758.45 and 422.45 is: 636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.10 : 758.45 = 422.45 : x
  2. Step 2: Convert to fraction form
    503.10/758.45 = 422.45/x
  3. Step 3: Cross multiply
    503.10x = 758.45 × 422.45
  4. Step 4: Simplify right side
    503.10x = 320,407.20
  5. Step 5: Solve for x
    x = 320,407.20/503.10
  6. Step 6: Final answer
    x = 636.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.