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Finding the Fourth Proportional to 1,261.90, 1,892.85 and 440.17

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Solution

The fourth proportional to 1,261.90, 1,892.85 and 440.17 is: 660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.90 : 1,892.85 = 440.17 : x
  2. Step 2: Convert to fraction form
    1,261.90/1,892.85 = 440.17/x
  3. Step 3: Cross multiply
    1,261.90x = 1,892.85 × 440.17
  4. Step 4: Simplify right side
    1,261.90x = 833,169.79
  5. Step 5: Solve for x
    x = 833,169.79/1,261.90
  6. Step 6: Final answer
    x = 660.25

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Double scale
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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.