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Finding the Fourth Proportional to 659.93, 906.89 and 535.32

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Solution

The fourth proportional to 659.93, 906.89 and 535.32 is: 735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.93 : 906.89 = 535.32 : x
  2. Step 2: Convert to fraction form
    659.93/906.89 = 535.32/x
  3. Step 3: Cross multiply
    659.93x = 906.89 × 535.32
  4. Step 4: Simplify right side
    659.93x = 485,473.68
  5. Step 5: Solve for x
    x = 485,473.68/659.93
  6. Step 6: Final answer
    x = 735.65

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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.