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Finding the Fourth Proportional to 985.68, 1,478.10 and 292.14

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Solution

The fourth proportional to 985.68, 1,478.10 and 292.14 is: 438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.68 : 1,478.10 = 292.14 : x
  2. Step 2: Convert to fraction form
    985.68/1,478.10 = 292.14/x
  3. Step 3: Cross multiply
    985.68x = 1,478.10 × 292.14
  4. Step 4: Simplify right side
    985.68x = 431,812.13
  5. Step 5: Solve for x
    x = 431,812.13/985.68
  6. Step 6: Final answer
    x = 438.09

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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.