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Finding the Fourth Proportional to 492.95, 739.43 and 384.83

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Solution

The fourth proportional to 492.95, 739.43 and 384.83 is: 577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.95 : 739.43 = 384.83 : x
  2. Step 2: Convert to fraction form
    492.95/739.43 = 384.83/x
  3. Step 3: Cross multiply
    492.95x = 739.43 × 384.83
  4. Step 4: Simplify right side
    492.95x = 284,552.92
  5. Step 5: Solve for x
    x = 284,552.92/492.95
  6. Step 6: Final answer
    x = 577.25

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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.