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Finding the Fourth Proportional to 926.20, 1,388.38 and 463.29

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Solution

The fourth proportional to 926.20, 1,388.38 and 463.29 is: 694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.20 : 1,388.38 = 463.29 : x
  2. Step 2: Convert to fraction form
    926.20/1,388.38 = 463.29/x
  3. Step 3: Cross multiply
    926.20x = 1,388.38 × 463.29
  4. Step 4: Simplify right side
    926.20x = 643,222.57
  5. Step 5: Solve for x
    x = 643,222.57/926.20
  6. Step 6: Final answer
    x = 694.47

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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.