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Finding the Fourth Proportional to 561.37, 839.09 and 487.66

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Solution

The fourth proportional to 561.37, 839.09 and 487.66 is: 728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.37 : 839.09 = 487.66 : x
  2. Step 2: Convert to fraction form
    561.37/839.09 = 487.66/x
  3. Step 3: Cross multiply
    561.37x = 839.09 × 487.66
  4. Step 4: Simplify right side
    561.37x = 409,190.63
  5. Step 5: Solve for x
    x = 409,190.63/561.37
  6. Step 6: Final answer
    x = 728.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.