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Finding the Fourth Proportional to 561.26, 836.80 and 546.84

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Solution

The fourth proportional to 561.26, 836.80 and 546.84 is: 815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.26 : 836.80 = 546.84 : x
  2. Step 2: Convert to fraction form
    561.26/836.80 = 546.84/x
  3. Step 3: Cross multiply
    561.26x = 836.80 × 546.84
  4. Step 4: Simplify right side
    561.26x = 457,594.34
  5. Step 5: Solve for x
    x = 457,594.34/561.26
  6. Step 6: Final answer
    x = 815.29

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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.