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Finding the Fourth Proportional to 764.07, 1,143.72 and 590.28

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Solution

The fourth proportional to 764.07, 1,143.72 and 590.28 is: 883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.07 : 1,143.72 = 590.28 : x
  2. Step 2: Convert to fraction form
    764.07/1,143.72 = 590.28/x
  3. Step 3: Cross multiply
    764.07x = 1,143.72 × 590.28
  4. Step 4: Simplify right side
    764.07x = 675,115.04
  5. Step 5: Solve for x
    x = 675,115.04/764.07
  6. Step 6: Final answer
    x = 883.58

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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.