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Finding the Fourth Proportional to 561.24, 836.91 and 522.29

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Solution

The fourth proportional to 561.24, 836.91 and 522.29 is: 778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.24 : 836.91 = 522.29 : x
  2. Step 2: Convert to fraction form
    561.24/836.91 = 522.29/x
  3. Step 3: Cross multiply
    561.24x = 836.91 × 522.29
  4. Step 4: Simplify right side
    561.24x = 437,105.54
  5. Step 5: Solve for x
    x = 437,105.54/561.24
  6. Step 6: Final answer
    x = 778.82

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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.