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Finding the Fourth Proportional to 778.70, 1,073.04 and 568.46

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Solution

The fourth proportional to 778.70, 1,073.04 and 568.46 is: 783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.70 : 1,073.04 = 568.46 : x
  2. Step 2: Convert to fraction form
    778.70/1,073.04 = 568.46/x
  3. Step 3: Cross multiply
    778.70x = 1,073.04 × 568.46
  4. Step 4: Simplify right side
    778.70x = 609,980.32
  5. Step 5: Solve for x
    x = 609,980.32/778.70
  6. Step 6: Final answer
    x = 783.33

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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.