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Finding the Fourth Proportional to 1,190.40, 1,785.99 and 565.97

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Solution

The fourth proportional to 1,190.40, 1,785.99 and 565.97 is: 849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.40 : 1,785.99 = 565.97 : x
  2. Step 2: Convert to fraction form
    1,190.40/1,785.99 = 565.97/x
  3. Step 3: Cross multiply
    1,190.40x = 1,785.99 × 565.97
  4. Step 4: Simplify right side
    1,190.40x = 1,010,807.83
  5. Step 5: Solve for x
    x = 1,010,807.83/1,190.40
  6. Step 6: Final answer
    x = 849.13

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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.