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Finding the Fourth Proportional to 1,040.31, 1,435.72 and 574.65

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Solution

The fourth proportional to 1,040.31, 1,435.72 and 574.65 is: 793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.31 : 1,435.72 = 574.65 : x
  2. Step 2: Convert to fraction form
    1,040.31/1,435.72 = 574.65/x
  3. Step 3: Cross multiply
    1,040.31x = 1,435.72 × 574.65
  4. Step 4: Simplify right side
    1,040.31x = 825,041.52
  5. Step 5: Solve for x
    x = 825,041.52/1,040.31
  6. Step 6: Final answer
    x = 793.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.