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Finding the Fourth Proportional to 981.70, 1,470.92 and 692.54

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Solution

The fourth proportional to 981.70, 1,470.92 and 692.54 is: 1,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.70 : 1,470.92 = 692.54 : x
  2. Step 2: Convert to fraction form
    981.70/1,470.92 = 692.54/x
  3. Step 3: Cross multiply
    981.70x = 1,470.92 × 692.54
  4. Step 4: Simplify right side
    981.70x = 1,018,670.94
  5. Step 5: Solve for x
    x = 1,018,670.94/981.70
  6. Step 6: Final answer
    x = 1,037.66

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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.