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Finding the Fourth Proportional to 662.13, 913.19 and 574.65

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Solution

The fourth proportional to 662.13, 913.19 and 574.65 is: 792.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.13 : 913.19 = 574.65 : x
  2. Step 2: Convert to fraction form
    662.13/913.19 = 574.65/x
  3. Step 3: Cross multiply
    662.13x = 913.19 × 574.65
  4. Step 4: Simplify right side
    662.13x = 524,761.76
  5. Step 5: Solve for x
    x = 524,761.76/662.13
  6. Step 6: Final answer
    x = 792.54

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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.