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Finding the Fourth Proportional to 562.78, 776.46 and 385.59

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Solution

The fourth proportional to 562.78, 776.46 and 385.59 is: 531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.78 : 776.46 = 385.59 : x
  2. Step 2: Convert to fraction form
    562.78/776.46 = 385.59/x
  3. Step 3: Cross multiply
    562.78x = 776.46 × 385.59
  4. Step 4: Simplify right side
    562.78x = 299,395.21
  5. Step 5: Solve for x
    x = 299,395.21/562.78
  6. Step 6: Final answer
    x = 531.99

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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.