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Finding the Fourth Proportional to 708.22, 1,057.56 and 578.48

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Solution

The fourth proportional to 708.22, 1,057.56 and 578.48 is: 863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.22 : 1,057.56 = 578.48 : x
  2. Step 2: Convert to fraction form
    708.22/1,057.56 = 578.48/x
  3. Step 3: Cross multiply
    708.22x = 1,057.56 × 578.48
  4. Step 4: Simplify right side
    708.22x = 611,774.66
  5. Step 5: Solve for x
    x = 611,774.66/708.22
  6. Step 6: Final answer
    x = 863.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.