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Finding the Fourth Proportional to 1,040.07, 1,435.29 and 574.32

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Solution

The fourth proportional to 1,040.07, 1,435.29 and 574.32 is: 792.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.07 : 1,435.29 = 574.32 : x
  2. Step 2: Convert to fraction form
    1,040.07/1,435.29 = 574.32/x
  3. Step 3: Cross multiply
    1,040.07x = 1,435.29 × 574.32
  4. Step 4: Simplify right side
    1,040.07x = 824,315.75
  5. Step 5: Solve for x
    x = 824,315.75/1,040.07
  6. Step 6: Final answer
    x = 792.56

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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.