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Finding the Fourth Proportional to 503.41, 754.43 and 284.14

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Solution

The fourth proportional to 503.41, 754.43 and 284.14 is: 425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.41 : 754.43 = 284.14 : x
  2. Step 2: Convert to fraction form
    503.41/754.43 = 284.14/x
  3. Step 3: Cross multiply
    503.41x = 754.43 × 284.14
  4. Step 4: Simplify right side
    503.41x = 214,363.74
  5. Step 5: Solve for x
    x = 214,363.74/503.41
  6. Step 6: Final answer
    x = 425.82

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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.