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Finding the Fourth Proportional to 561.50, 774.43 and 498.55

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Solution

The fourth proportional to 561.50, 774.43 and 498.55 is: 687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.50 : 774.43 = 498.55 : x
  2. Step 2: Convert to fraction form
    561.50/774.43 = 498.55/x
  3. Step 3: Cross multiply
    561.50x = 774.43 × 498.55
  4. Step 4: Simplify right side
    561.50x = 386,092.08
  5. Step 5: Solve for x
    x = 386,092.08/561.50
  6. Step 6: Final answer
    x = 687.61

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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.