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Finding the Fourth Proportional to 998.26, 1,498.16 and 692.25

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Solution

The fourth proportional to 998.26, 1,498.16 and 692.25 is: 1,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.26 : 1,498.16 = 692.25 : x
  2. Step 2: Convert to fraction form
    998.26/1,498.16 = 692.25/x
  3. Step 3: Cross multiply
    998.26x = 1,498.16 × 692.25
  4. Step 4: Simplify right side
    998.26x = 1,037,101.26
  5. Step 5: Solve for x
    x = 1,037,101.26/998.26
  6. Step 6: Final answer
    x = 1,038.91

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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.