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Finding the Fourth Proportional to 846.09, 1,268.10 and 692.34

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Solution

The fourth proportional to 846.09, 1,268.10 and 692.34 is: 1,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.09 : 1,268.10 = 692.34 : x
  2. Step 2: Convert to fraction form
    846.09/1,268.10 = 692.34/x
  3. Step 3: Cross multiply
    846.09x = 1,268.10 × 692.34
  4. Step 4: Simplify right side
    846.09x = 877,956.35
  5. Step 5: Solve for x
    x = 877,956.35/846.09
  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.