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Finding the Fourth Proportional to 981.51, 1,471.24 and 364.83

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Solution

The fourth proportional to 981.51, 1,471.24 and 364.83 is: 546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.51 : 1,471.24 = 364.83 : x
  2. Step 2: Convert to fraction form
    981.51/1,471.24 = 364.83/x
  3. Step 3: Cross multiply
    981.51x = 1,471.24 × 364.83
  4. Step 4: Simplify right side
    981.51x = 536,752.49
  5. Step 5: Solve for x
    x = 536,752.49/981.51
  6. Step 6: Final answer
    x = 546.86

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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.