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Finding the Fourth Proportional to 503.74, 754.17 and 419.68

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Solution

The fourth proportional to 503.74, 754.17 and 419.68 is: 628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.74 : 754.17 = 419.68 : x
  2. Step 2: Convert to fraction form
    503.74/754.17 = 419.68/x
  3. Step 3: Cross multiply
    503.74x = 754.17 × 419.68
  4. Step 4: Simplify right side
    503.74x = 316,510.07
  5. Step 5: Solve for x
    x = 316,510.07/503.74
  6. Step 6: Final answer
    x = 628.32

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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.