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Finding the Fourth Proportional to 985.98, 1,478.97 and 438.06

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Solution

The fourth proportional to 985.98, 1,478.97 and 438.06 is: 657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.98 : 1,478.97 = 438.06 : x
  2. Step 2: Convert to fraction form
    985.98/1,478.97 = 438.06/x
  3. Step 3: Cross multiply
    985.98x = 1,478.97 × 438.06
  4. Step 4: Simplify right side
    985.98x = 647,877.60
  5. Step 5: Solve for x
    x = 647,877.60/985.98
  6. Step 6: Final answer
    x = 657.09

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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.