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Finding the Fourth Proportional to 492.28, 737.51 and 415.13

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Solution

The fourth proportional to 492.28, 737.51 and 415.13 is: 621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.28 : 737.51 = 415.13 : x
  2. Step 2: Convert to fraction form
    492.28/737.51 = 415.13/x
  3. Step 3: Cross multiply
    492.28x = 737.51 × 415.13
  4. Step 4: Simplify right side
    492.28x = 306,156.76
  5. Step 5: Solve for x
    x = 306,156.76/492.28
  6. Step 6: Final answer
    x = 621.92

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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.