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Finding the Fourth Proportional to 605.35, 906.47 and 502.33

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Solution

The fourth proportional to 605.35, 906.47 and 502.33 is: 752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.35 : 906.47 = 502.33 : x
  2. Step 2: Convert to fraction form
    605.35/906.47 = 502.33/x
  3. Step 3: Cross multiply
    605.35x = 906.47 × 502.33
  4. Step 4: Simplify right side
    605.35x = 455,342.30
  5. Step 5: Solve for x
    x = 455,342.30/605.35
  6. Step 6: Final answer
    x = 752.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.