Home / 1,057.26-1,583.49-509.83

Finding the Fourth Proportional to 1,057.26, 1,583.49 and 509.83

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Solution

The fourth proportional to 1,057.26, 1,583.49 and 509.83 is: 763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.26 : 1,583.49 = 509.83 : x
  2. Step 2: Convert to fraction form
    1,057.26/1,583.49 = 509.83/x
  3. Step 3: Cross multiply
    1,057.26x = 1,583.49 × 509.83
  4. Step 4: Simplify right side
    1,057.26x = 807,310.71
  5. Step 5: Solve for x
    x = 807,310.71/1,057.26
  6. Step 6: Final answer
    x = 763.59

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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.