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Finding the Fourth Proportional to 1,261.51, 1,892.48 and 440.28

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Solution

The fourth proportional to 1,261.51, 1,892.48 and 440.28 is: 660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.51 : 1,892.48 = 440.28 : x
  2. Step 2: Convert to fraction form
    1,261.51/1,892.48 = 440.28/x
  3. Step 3: Cross multiply
    1,261.51x = 1,892.48 × 440.28
  4. Step 4: Simplify right side
    1,261.51x = 833,218.89
  5. Step 5: Solve for x
    x = 833,218.89/1,261.51
  6. Step 6: Final answer
    x = 660.49

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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.