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Finding the Fourth Proportional to 561.26, 836.94 and 522.30

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Solution

The fourth proportional to 561.26, 836.94 and 522.30 is: 778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.26 : 836.94 = 522.30 : x
  2. Step 2: Convert to fraction form
    561.26/836.94 = 522.30/x
  3. Step 3: Cross multiply
    561.26x = 836.94 × 522.30
  4. Step 4: Simplify right side
    561.26x = 437,135.04
  5. Step 5: Solve for x
    x = 437,135.04/561.26
  6. Step 6: Final answer
    x = 778.85

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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.