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Finding the Fourth Proportional to 1,019.75, 1,407.26 and 554

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Solution

The fourth proportional to 1,019.75, 1,407.26 and 554 is: 764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.75 : 1,407.26 = 554 : x
  2. Step 2: Convert to fraction form
    1,019.75/1,407.26 = 554/x
  3. Step 3: Cross multiply
    1,019.75x = 1,407.26 × 554
  4. Step 4: Simplify right side
    1,019.75x = 779,619.27
  5. Step 5: Solve for x
    x = 779,619.27/1,019.75
  6. Step 6: Final answer
    x = 764.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.