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Finding the Fourth Proportional to 985.14, 1,478.97 and 621.45

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Solution

The fourth proportional to 985.14, 1,478.97 and 621.45 is: 932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.14 : 1,478.97 = 621.45 : x
  2. Step 2: Convert to fraction form
    985.14/1,478.97 = 621.45/x
  3. Step 3: Cross multiply
    985.14x = 1,478.97 × 621.45
  4. Step 4: Simplify right side
    985.14x = 919,105.91
  5. Step 5: Solve for x
    x = 919,105.91/985.14
  6. Step 6: Final answer
    x = 932.97

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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.