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Finding the Fourth Proportional to 873.69, 1,309.73 and 692.25

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Solution

The fourth proportional to 873.69, 1,309.73 and 692.25 is: 1,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.69 : 1,309.73 = 692.25 : x
  2. Step 2: Convert to fraction form
    873.69/1,309.73 = 692.25/x
  3. Step 3: Cross multiply
    873.69x = 1,309.73 × 692.25
  4. Step 4: Simplify right side
    873.69x = 906,657.13
  5. Step 5: Solve for x
    x = 906,657.13/873.69
  6. Step 6: Final answer
    x = 1,037.73

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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.