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Finding the Fourth Proportional to 744.97, 1,027.58 and 587.43

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Solution

The fourth proportional to 744.97, 1,027.58 and 587.43 is: 810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.97 : 1,027.58 = 587.43 : x
  2. Step 2: Convert to fraction form
    744.97/1,027.58 = 587.43/x
  3. Step 3: Cross multiply
    744.97x = 1,027.58 × 587.43
  4. Step 4: Simplify right side
    744.97x = 603,631.32
  5. Step 5: Solve for x
    x = 603,631.32/744.97
  6. Step 6: Final answer
    x = 810.28

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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.