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Finding the Fourth Proportional to 1,057.11, 1,585.26 and 509.55

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Solution

The fourth proportional to 1,057.11, 1,585.26 and 509.55 is: 764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.11 : 1,585.26 = 509.55 : x
  2. Step 2: Convert to fraction form
    1,057.11/1,585.26 = 509.55/x
  3. Step 3: Cross multiply
    1,057.11x = 1,585.26 × 509.55
  4. Step 4: Simplify right side
    1,057.11x = 807,769.23
  5. Step 5: Solve for x
    x = 807,769.23/1,057.11
  6. Step 6: Final answer
    x = 764.13

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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.