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Finding the Fourth Proportional to 838.58, 1,256.03 and 692.02

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Solution

The fourth proportional to 838.58, 1,256.03 and 692.02 is: 1,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.58 : 1,256.03 = 692.02 : x
  2. Step 2: Convert to fraction form
    838.58/1,256.03 = 692.02/x
  3. Step 3: Cross multiply
    838.58x = 1,256.03 × 692.02
  4. Step 4: Simplify right side
    838.58x = 869,197.88
  5. Step 5: Solve for x
    x = 869,197.88/838.58
  6. Step 6: Final answer
    x = 1,036.51

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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.