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Finding the Fourth Proportional to 607.28, 906.48 and 534.38

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Solution

The fourth proportional to 607.28, 906.48 and 534.38 is: 797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.28 : 906.48 = 534.38 : x
  2. Step 2: Convert to fraction form
    607.28/906.48 = 534.38/x
  3. Step 3: Cross multiply
    607.28x = 906.48 × 534.38
  4. Step 4: Simplify right side
    607.28x = 484,400.25
  5. Step 5: Solve for x
    x = 484,400.25/607.28
  6. Step 6: Final answer
    x = 797.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.