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Finding the Fourth Proportional to 492.47, 737.57 and 286.52

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Solution

The fourth proportional to 492.47, 737.57 and 286.52 is: 429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.47 : 737.57 = 286.52 : x
  2. Step 2: Convert to fraction form
    492.47/737.57 = 286.52/x
  3. Step 3: Cross multiply
    492.47x = 737.57 × 286.52
  4. Step 4: Simplify right side
    492.47x = 211,328.56
  5. Step 5: Solve for x
    x = 211,328.56/492.47
  6. Step 6: Final answer
    x = 429.12

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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.