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Finding the Fourth Proportional to 559.78, 839.20 and 437.68

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Solution

The fourth proportional to 559.78, 839.20 and 437.68 is: 656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.78 : 839.20 = 437.68 : x
  2. Step 2: Convert to fraction form
    559.78/839.20 = 437.68/x
  3. Step 3: Cross multiply
    559.78x = 839.20 × 437.68
  4. Step 4: Simplify right side
    559.78x = 367,301.06
  5. Step 5: Solve for x
    x = 367,301.06/559.78
  6. Step 6: Final answer
    x = 656.15

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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.