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Finding the Fourth Proportional to 492.07, 737.73 and 318.91

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Solution

The fourth proportional to 492.07, 737.73 and 318.91 is: 478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.07 : 737.73 = 318.91 : x
  2. Step 2: Convert to fraction form
    492.07/737.73 = 318.91/x
  3. Step 3: Cross multiply
    492.07x = 737.73 × 318.91
  4. Step 4: Simplify right side
    492.07x = 235,269.47
  5. Step 5: Solve for x
    x = 235,269.47/492.07
  6. Step 6: Final answer
    x = 478.12

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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.