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Finding the Fourth Proportional to 607.67, 838.82 and 386.74

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Solution

The fourth proportional to 607.67, 838.82 and 386.74 is: 533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.67 : 838.82 = 386.74 : x
  2. Step 2: Convert to fraction form
    607.67/838.82 = 386.74/x
  3. Step 3: Cross multiply
    607.67x = 838.82 × 386.74
  4. Step 4: Simplify right side
    607.67x = 324,407.26
  5. Step 5: Solve for x
    x = 324,407.26/607.67
  6. Step 6: Final answer
    x = 533.86

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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.