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Finding the Fourth Proportional to 562.91, 776.85 and 314.23

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Solution

The fourth proportional to 562.91, 776.85 and 314.23 is: 433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.91 : 776.85 = 314.23 : x
  2. Step 2: Convert to fraction form
    562.91/776.85 = 314.23/x
  3. Step 3: Cross multiply
    562.91x = 776.85 × 314.23
  4. Step 4: Simplify right side
    562.91x = 244,109.58
  5. Step 5: Solve for x
    x = 244,109.58/562.91
  6. Step 6: Final answer
    x = 433.66

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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.