Home / 1,057.14-1,584.34-508.34

Finding the Fourth Proportional to 1,057.14, 1,584.34 and 508.34

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Solution

The fourth proportional to 1,057.14, 1,584.34 and 508.34 is: 761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.14 : 1,584.34 = 508.34 : x
  2. Step 2: Convert to fraction form
    1,057.14/1,584.34 = 508.34/x
  3. Step 3: Cross multiply
    1,057.14x = 1,584.34 × 508.34
  4. Step 4: Simplify right side
    1,057.14x = 805,383.40
  5. Step 5: Solve for x
    x = 805,383.40/1,057.14
  6. Step 6: Final answer
    x = 761.85

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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.