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Finding the Fourth Proportional to 559.47, 838.76 and 438.28

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Solution

The fourth proportional to 559.47, 838.76 and 438.28 is: 657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.47 : 838.76 = 438.28 : x
  2. Step 2: Convert to fraction form
    559.47/838.76 = 438.28/x
  3. Step 3: Cross multiply
    559.47x = 838.76 × 438.28
  4. Step 4: Simplify right side
    559.47x = 367,607.44
  5. Step 5: Solve for x
    x = 367,607.44/559.47
  6. Step 6: Final answer
    x = 657.06

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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.