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Finding the Fourth Proportional to 985.30, 1,478.15 and 291.97

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Solution

The fourth proportional to 985.30, 1,478.15 and 291.97 is: 438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.30 : 1,478.15 = 291.97 : x
  2. Step 2: Convert to fraction form
    985.30/1,478.15 = 291.97/x
  3. Step 3: Cross multiply
    985.30x = 1,478.15 × 291.97
  4. Step 4: Simplify right side
    985.30x = 431,576.94
  5. Step 5: Solve for x
    x = 431,576.94/985.30
  6. Step 6: Final answer
    x = 438.02

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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.