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Finding the Fourth Proportional to 744.52, 1,027.14 and 511.24

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Solution

The fourth proportional to 744.52, 1,027.14 and 511.24 is: 705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.52 : 1,027.14 = 511.24 : x
  2. Step 2: Convert to fraction form
    744.52/1,027.14 = 511.24/x
  3. Step 3: Cross multiply
    744.52x = 1,027.14 × 511.24
  4. Step 4: Simplify right side
    744.52x = 525,115.05
  5. Step 5: Solve for x
    x = 525,115.05/744.52
  6. Step 6: Final answer
    x = 705.31

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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.