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Finding the Fourth Proportional to 1,057.93, 1,585.78 and 538.32

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Solution

The fourth proportional to 1,057.93, 1,585.78 and 538.32 is: 806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.93 : 1,585.78 = 538.32 : x
  2. Step 2: Convert to fraction form
    1,057.93/1,585.78 = 538.32/x
  3. Step 3: Cross multiply
    1,057.93x = 1,585.78 × 538.32
  4. Step 4: Simplify right side
    1,057.93x = 853,657.09
  5. Step 5: Solve for x
    x = 853,657.09/1,057.93
  6. Step 6: Final answer
    x = 806.91

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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.