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Finding the Fourth Proportional to 1,057.14, 1,585.45 and 440.85

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Solution

The fourth proportional to 1,057.14, 1,585.45 and 440.85 is: 661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.14 : 1,585.45 = 440.85 : x
  2. Step 2: Convert to fraction form
    1,057.14/1,585.45 = 440.85/x
  3. Step 3: Cross multiply
    1,057.14x = 1,585.45 × 440.85
  4. Step 4: Simplify right side
    1,057.14x = 698,943.43
  5. Step 5: Solve for x
    x = 698,943.43/1,057.14
  6. Step 6: Final answer
    x = 661.17

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Double scale
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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.