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Finding the Fourth Proportional to 562.76, 776.34 and 485

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Solution

The fourth proportional to 562.76, 776.34 and 485 is: 669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.76 : 776.34 = 485 : x
  2. Step 2: Convert to fraction form
    562.76/776.34 = 485/x
  3. Step 3: Cross multiply
    562.76x = 776.34 × 485
  4. Step 4: Simplify right side
    562.76x = 376,524.90
  5. Step 5: Solve for x
    x = 376,524.90/562.76
  6. Step 6: Final answer
    x = 669.07

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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.