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Finding the Fourth Proportional to 1,605.42, 2,215.53 and 906.75

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Solution

The fourth proportional to 1,605.42, 2,215.53 and 906.75 is: 1,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.42 : 2,215.53 = 906.75 : x
  2. Step 2: Convert to fraction form
    1,605.42/2,215.53 = 906.75/x
  3. Step 3: Cross multiply
    1,605.42x = 2,215.53 × 906.75
  4. Step 4: Simplify right side
    1,605.42x = 2,008,931.83
  5. Step 5: Solve for x
    x = 2,008,931.83/1,605.42
  6. Step 6: Final answer
    x = 1,251.34

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.