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Finding the Fourth Proportional to 999.73, 1,498.75 and 692.18

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Solution

The fourth proportional to 999.73, 1,498.75 and 692.18 is: 1,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.73 : 1,498.75 = 692.18 : x
  2. Step 2: Convert to fraction form
    999.73/1,498.75 = 692.18/x
  3. Step 3: Cross multiply
    999.73x = 1,498.75 × 692.18
  4. Step 4: Simplify right side
    999.73x = 1,037,405.06
  5. Step 5: Solve for x
    x = 1,037,405.06/999.73
  6. Step 6: Final answer
    x = 1,037.69

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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.