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Finding the Fourth Proportional to 660.86, 906.94 and 598.56

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Solution

The fourth proportional to 660.86, 906.94 and 598.56 is: 821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.86 : 906.94 = 598.56 : x
  2. Step 2: Convert to fraction form
    660.86/906.94 = 598.56/x
  3. Step 3: Cross multiply
    660.86x = 906.94 × 598.56
  4. Step 4: Simplify right side
    660.86x = 542,858.01
  5. Step 5: Solve for x
    x = 542,858.01/660.86
  6. Step 6: Final answer
    x = 821.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.