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Finding the Fourth Proportional to 985.78, 1,478.69 and 466.15

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Solution

The fourth proportional to 985.78, 1,478.69 and 466.15 is: 699.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.78 : 1,478.69 = 466.15 : x
  2. Step 2: Convert to fraction form
    985.78/1,478.69 = 466.15/x
  3. Step 3: Cross multiply
    985.78x = 1,478.69 × 466.15
  4. Step 4: Simplify right side
    985.78x = 689,289.01
  5. Step 5: Solve for x
    x = 689,289.01/985.78
  6. Step 6: Final answer
    x = 699.23

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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.