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Finding the Fourth Proportional to 692.02, 1,040.22 and 556.54

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Solution

The fourth proportional to 692.02, 1,040.22 and 556.54 is: 836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.02 : 1,040.22 = 556.54 : x
  2. Step 2: Convert to fraction form
    692.02/1,040.22 = 556.54/x
  3. Step 3: Cross multiply
    692.02x = 1,040.22 × 556.54
  4. Step 4: Simplify right side
    692.02x = 578,924.04
  5. Step 5: Solve for x
    x = 578,924.04/692.02
  6. Step 6: Final answer
    x = 836.57

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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.