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Finding the Fourth Proportional to 1,040.23, 1,435.75 and 598.38

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Solution

The fourth proportional to 1,040.23, 1,435.75 and 598.38 is: 825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.23 : 1,435.75 = 598.38 : x
  2. Step 2: Convert to fraction form
    1,040.23/1,435.75 = 598.38/x
  3. Step 3: Cross multiply
    1,040.23x = 1,435.75 × 598.38
  4. Step 4: Simplify right side
    1,040.23x = 859,124.09
  5. Step 5: Solve for x
    x = 859,124.09/1,040.23
  6. Step 6: Final answer
    x = 825.90

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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.