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Finding the Fourth Proportional to 492.57, 737.96 and 370.89

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Solution

The fourth proportional to 492.57, 737.96 and 370.89 is: 555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.57 : 737.96 = 370.89 : x
  2. Step 2: Convert to fraction form
    492.57/737.96 = 370.89/x
  3. Step 3: Cross multiply
    492.57x = 737.96 × 370.89
  4. Step 4: Simplify right side
    492.57x = 273,700.13
  5. Step 5: Solve for x
    x = 273,700.13/492.57
  6. Step 6: Final answer
    x = 555.66

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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.