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Finding the Fourth Proportional to 562.89, 776.75 and 314.23

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Solution

The fourth proportional to 562.89, 776.75 and 314.23 is: 433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.89 : 776.75 = 314.23 : x
  2. Step 2: Convert to fraction form
    562.89/776.75 = 314.23/x
  3. Step 3: Cross multiply
    562.89x = 776.75 × 314.23
  4. Step 4: Simplify right side
    562.89x = 244,078.15
  5. Step 5: Solve for x
    x = 244,078.15/562.89
  6. Step 6: Final answer
    x = 433.62

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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.