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Finding the Fourth Proportional to 560.21, 839.78 and 286.43

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Solution

The fourth proportional to 560.21, 839.78 and 286.43 is: 429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.21 : 839.78 = 286.43 : x
  2. Step 2: Convert to fraction form
    560.21/839.78 = 286.43/x
  3. Step 3: Cross multiply
    560.21x = 839.78 × 286.43
  4. Step 4: Simplify right side
    560.21x = 240,536.75
  5. Step 5: Solve for x
    x = 240,536.75/560.21
  6. Step 6: Final answer
    x = 429.37

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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.