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Finding the Fourth Proportional to 607.42, 838.34 and 386.47

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Solution

The fourth proportional to 607.42, 838.34 and 386.47 is: 533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.42 : 838.34 = 386.47 : x
  2. Step 2: Convert to fraction form
    607.42/838.34 = 386.47/x
  3. Step 3: Cross multiply
    607.42x = 838.34 × 386.47
  4. Step 4: Simplify right side
    607.42x = 323,993.26
  5. Step 5: Solve for x
    x = 323,993.26/607.42
  6. Step 6: Final answer
    x = 533.39

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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.