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Finding the Fourth Proportional to 764.93, 1,145.97 and 557.16

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Solution

The fourth proportional to 764.93, 1,145.97 and 557.16 is: 834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.93 : 1,145.97 = 557.16 : x
  2. Step 2: Convert to fraction form
    764.93/1,145.97 = 557.16/x
  3. Step 3: Cross multiply
    764.93x = 1,145.97 × 557.16
  4. Step 4: Simplify right side
    764.93x = 638,488.65
  5. Step 5: Solve for x
    x = 638,488.65/764.93
  6. Step 6: Final answer
    x = 834.71

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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.