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Finding the Fourth Proportional to 1,057.79, 1,585.32 and 440.66

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Solution

The fourth proportional to 1,057.79, 1,585.32 and 440.66 is: 660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.79 : 1,585.32 = 440.66 : x
  2. Step 2: Convert to fraction form
    1,057.79/1,585.32 = 440.66/x
  3. Step 3: Cross multiply
    1,057.79x = 1,585.32 × 440.66
  4. Step 4: Simplify right side
    1,057.79x = 698,582.98
  5. Step 5: Solve for x
    x = 698,582.98/1,057.79
  6. Step 6: Final answer
    x = 660.42

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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.