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Finding the Fourth Proportional to 503.44, 693.72 and 390.74

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Solution

The fourth proportional to 503.44, 693.72 and 390.74 is: 538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.44 : 693.72 = 390.74 : x
  2. Step 2: Convert to fraction form
    503.44/693.72 = 390.74/x
  3. Step 3: Cross multiply
    503.44x = 693.72 × 390.74
  4. Step 4: Simplify right side
    503.44x = 271,064.15
  5. Step 5: Solve for x
    x = 271,064.15/503.44
  6. Step 6: Final answer
    x = 538.42

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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.