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Finding the Fourth Proportional to 503.26, 693.57 and 372.22

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Solution

The fourth proportional to 503.26, 693.57 and 372.22 is: 512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.26 : 693.57 = 372.22 : x
  2. Step 2: Convert to fraction form
    503.26/693.57 = 372.22/x
  3. Step 3: Cross multiply
    503.26x = 693.57 × 372.22
  4. Step 4: Simplify right side
    503.26x = 258,160.63
  5. Step 5: Solve for x
    x = 258,160.63/503.26
  6. Step 6: Final answer
    x = 512.98

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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.