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Finding the Fourth Proportional to 692.30, 1,036.02 and 546.50

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Solution

The fourth proportional to 692.30, 1,036.02 and 546.50 is: 817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.30 : 1,036.02 = 546.50 : x
  2. Step 2: Convert to fraction form
    692.30/1,036.02 = 546.50/x
  3. Step 3: Cross multiply
    692.30x = 1,036.02 × 546.50
  4. Step 4: Simplify right side
    692.30x = 566,184.93
  5. Step 5: Solve for x
    x = 566,184.93/692.30
  6. Step 6: Final answer
    x = 817.83

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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.