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Finding the Fourth Proportional to 562.94, 776.80 and 314.20

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Solution

The fourth proportional to 562.94, 776.80 and 314.20 is: 433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.94 : 776.80 = 314.20 : x
  2. Step 2: Convert to fraction form
    562.94/776.80 = 314.20/x
  3. Step 3: Cross multiply
    562.94x = 776.80 × 314.20
  4. Step 4: Simplify right side
    562.94x = 244,070.56
  5. Step 5: Solve for x
    x = 244,070.56/562.94
  6. Step 6: Final answer
    x = 433.56

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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.