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Finding the Fourth Proportional to 923.20, 1,382.10 and 615.40

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Solution

The fourth proportional to 923.20, 1,382.10 and 615.40 is: 921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.20 : 1,382.10 = 615.40 : x
  2. Step 2: Convert to fraction form
    923.20/1,382.10 = 615.40/x
  3. Step 3: Cross multiply
    923.20x = 1,382.10 × 615.40
  4. Step 4: Simplify right side
    923.20x = 850,544.34
  5. Step 5: Solve for x
    x = 850,544.34/923.20
  6. Step 6: Final answer
    x = 921.30

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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.