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Finding the Fourth Proportional to 503.74, 693.66 and 372.52

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Solution

The fourth proportional to 503.74, 693.66 and 372.52 is: 512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.74 : 693.66 = 372.52 : x
  2. Step 2: Convert to fraction form
    503.74/693.66 = 372.52/x
  3. Step 3: Cross multiply
    503.74x = 693.66 × 372.52
  4. Step 4: Simplify right side
    503.74x = 258,402.22
  5. Step 5: Solve for x
    x = 258,402.22/503.74
  6. Step 6: Final answer
    x = 512.97

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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.