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Finding the Fourth Proportional to 492, 737.06 and 463.40

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Solution

The fourth proportional to 492, 737.06 and 463.40 is: 694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492 : 737.06 = 463.40 : x
  2. Step 2: Convert to fraction form
    492/737.06 = 463.40/x
  3. Step 3: Cross multiply
    492x = 737.06 × 463.40
  4. Step 4: Simplify right side
    492x = 341,553.13
  5. Step 5: Solve for x
    x = 341,553.13/492
  6. Step 6: Final answer
    x = 694.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.