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Finding the Fourth Proportional to 559.99, 836.22 and 457.48

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Solution

The fourth proportional to 559.99, 836.22 and 457.48 is: 683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.99 : 836.22 = 457.48 : x
  2. Step 2: Convert to fraction form
    559.99/836.22 = 457.48/x
  3. Step 3: Cross multiply
    559.99x = 836.22 × 457.48
  4. Step 4: Simplify right side
    559.99x = 382,553.93
  5. Step 5: Solve for x
    x = 382,553.93/559.99
  6. Step 6: Final answer
    x = 683.14

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1.5x scale

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.