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Finding the Fourth Proportional to 561.38, 840.84 and 550.30

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Solution

The fourth proportional to 561.38, 840.84 and 550.30 is: 824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.38 : 840.84 = 550.30 : x
  2. Step 2: Convert to fraction form
    561.38/840.84 = 550.30/x
  3. Step 3: Cross multiply
    561.38x = 840.84 × 550.30
  4. Step 4: Simplify right side
    561.38x = 462,714.25
  5. Step 5: Solve for x
    x = 462,714.25/561.38
  6. Step 6: Final answer
    x = 824.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.