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Finding the Fourth Proportional to 492.15, 737.94 and 389.13

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Solution

The fourth proportional to 492.15, 737.94 and 389.13 is: 583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.15 : 737.94 = 389.13 : x
  2. Step 2: Convert to fraction form
    492.15/737.94 = 389.13/x
  3. Step 3: Cross multiply
    492.15x = 737.94 × 389.13
  4. Step 4: Simplify right side
    492.15x = 287,154.59
  5. Step 5: Solve for x
    x = 287,154.59/492.15
  6. Step 6: Final answer
    x = 583.47

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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.