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Finding the Fourth Proportional to 561.99, 839.20 and 459.48

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Solution

The fourth proportional to 561.99, 839.20 and 459.48 is: 686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.99 : 839.20 = 459.48 : x
  2. Step 2: Convert to fraction form
    561.99/839.20 = 459.48/x
  3. Step 3: Cross multiply
    561.99x = 839.20 × 459.48
  4. Step 4: Simplify right side
    561.99x = 385,593.32
  5. Step 5: Solve for x
    x = 385,593.32/561.99
  6. Step 6: Final answer
    x = 686.12

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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.