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Finding the Fourth Proportional to 559.76, 838.56 and 405.68

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Solution

The fourth proportional to 559.76, 838.56 and 405.68 is: 607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.76 : 838.56 = 405.68 : x
  2. Step 2: Convert to fraction form
    559.76/838.56 = 405.68/x
  3. Step 3: Cross multiply
    559.76x = 838.56 × 405.68
  4. Step 4: Simplify right side
    559.76x = 340,187.02
  5. Step 5: Solve for x
    x = 340,187.02/559.76
  6. Step 6: Final answer
    x = 607.74

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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.