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Finding the Fourth Proportional to 561.12, 840.60 and 286.56

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Solution

The fourth proportional to 561.12, 840.60 and 286.56 is: 429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.12 : 840.60 = 286.56 : x
  2. Step 2: Convert to fraction form
    561.12/840.60 = 286.56/x
  3. Step 3: Cross multiply
    561.12x = 840.60 × 286.56
  4. Step 4: Simplify right side
    561.12x = 240,882.34
  5. Step 5: Solve for x
    x = 240,882.34/561.12
  6. Step 6: Final answer
    x = 429.29

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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.