Home / 1,057.48-1,584.09-508.03

Finding the Fourth Proportional to 1,057.48, 1,584.09 and 508.03

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Solution

The fourth proportional to 1,057.48, 1,584.09 and 508.03 is: 761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.48 : 1,584.09 = 508.03 : x
  2. Step 2: Convert to fraction form
    1,057.48/1,584.09 = 508.03/x
  3. Step 3: Cross multiply
    1,057.48x = 1,584.09 × 508.03
  4. Step 4: Simplify right side
    1,057.48x = 804,761.28
  5. Step 5: Solve for x
    x = 804,761.28/1,057.48
  6. Step 6: Final answer
    x = 761.02

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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.