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Finding the Fourth Proportional to 561.72, 839.67 and 463.80

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Solution

The fourth proportional to 561.72, 839.67 and 463.80 is: 693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.72 : 839.67 = 463.80 : x
  2. Step 2: Convert to fraction form
    561.72/839.67 = 463.80/x
  3. Step 3: Cross multiply
    561.72x = 839.67 × 463.80
  4. Step 4: Simplify right side
    561.72x = 389,438.95
  5. Step 5: Solve for x
    x = 389,438.95/561.72
  6. Step 6: Final answer
    x = 693.30

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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.