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Finding the Fourth Proportional to 1,040.39, 1,435.74 and 568.29

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Solution

The fourth proportional to 1,040.39, 1,435.74 and 568.29 is: 784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.39 : 1,435.74 = 568.29 : x
  2. Step 2: Convert to fraction form
    1,040.39/1,435.74 = 568.29/x
  3. Step 3: Cross multiply
    1,040.39x = 1,435.74 × 568.29
  4. Step 4: Simplify right side
    1,040.39x = 815,916.68
  5. Step 5: Solve for x
    x = 815,916.68/1,040.39
  6. Step 6: Final answer
    x = 784.24

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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.