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Finding the Fourth Proportional to 619.82, 929.74 and 438.18

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Solution

The fourth proportional to 619.82, 929.74 and 438.18 is: 657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.82 : 929.74 = 438.18 : x
  2. Step 2: Convert to fraction form
    619.82/929.74 = 438.18/x
  3. Step 3: Cross multiply
    619.82x = 929.74 × 438.18
  4. Step 4: Simplify right side
    619.82x = 407,393.47
  5. Step 5: Solve for x
    x = 407,393.47/619.82
  6. Step 6: Final answer
    x = 657.28

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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.