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Finding the Fourth Proportional to 1,010.42, 1,394.33 and 568.36

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Solution

The fourth proportional to 1,010.42, 1,394.33 and 568.36 is: 784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.42 : 1,394.33 = 568.36 : x
  2. Step 2: Convert to fraction form
    1,010.42/1,394.33 = 568.36/x
  3. Step 3: Cross multiply
    1,010.42x = 1,394.33 × 568.36
  4. Step 4: Simplify right side
    1,010.42x = 792,481.40
  5. Step 5: Solve for x
    x = 792,481.40/1,010.42
  6. Step 6: Final answer
    x = 784.31

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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.