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Finding the Fourth Proportional to 605.52, 906.73 and 420.16

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Solution

The fourth proportional to 605.52, 906.73 and 420.16 is: 629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.52 : 906.73 = 420.16 : x
  2. Step 2: Convert to fraction form
    605.52/906.73 = 420.16/x
  3. Step 3: Cross multiply
    605.52x = 906.73 × 420.16
  4. Step 4: Simplify right side
    605.52x = 380,971.68
  5. Step 5: Solve for x
    x = 380,971.68/605.52
  6. Step 6: Final answer
    x = 629.16

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1.5x scale

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.