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Finding the Fourth Proportional to 1,010.66, 1,394.57 and 568.55

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Solution

The fourth proportional to 1,010.66, 1,394.57 and 568.55 is: 784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.66 : 1,394.57 = 568.55 : x
  2. Step 2: Convert to fraction form
    1,010.66/1,394.57 = 568.55/x
  3. Step 3: Cross multiply
    1,010.66x = 1,394.57 × 568.55
  4. Step 4: Simplify right side
    1,010.66x = 792,887.68
  5. Step 5: Solve for x
    x = 792,887.68/1,010.66
  6. Step 6: Final answer
    x = 784.53

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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.