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Finding the Fourth Proportional to 1,057.69, 1,585.99 and 564.38

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Solution

The fourth proportional to 1,057.69, 1,585.99 and 564.38 is: 846.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.69 : 1,585.99 = 564.38 : x
  2. Step 2: Convert to fraction form
    1,057.69/1,585.99 = 564.38/x
  3. Step 3: Cross multiply
    1,057.69x = 1,585.99 × 564.38
  4. Step 4: Simplify right side
    1,057.69x = 895,101.04
  5. Step 5: Solve for x
    x = 895,101.04/1,057.69
  6. Step 6: Final answer
    x = 846.28

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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.