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Finding the Fourth Proportional to 561.28, 840.62 and 286.70

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Solution

The fourth proportional to 561.28, 840.62 and 286.70 is: 429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.28 : 840.62 = 286.70 : x
  2. Step 2: Convert to fraction form
    561.28/840.62 = 286.70/x
  3. Step 3: Cross multiply
    561.28x = 840.62 × 286.70
  4. Step 4: Simplify right side
    561.28x = 241,005.75
  5. Step 5: Solve for x
    x = 241,005.75/561.28
  6. Step 6: Final answer
    x = 429.39

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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.