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Finding the Fourth Proportional to 692.03, 1,036.95 and 588.89

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Solution

The fourth proportional to 692.03, 1,036.95 and 588.89 is: 882.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.03 : 1,036.95 = 588.89 : x
  2. Step 2: Convert to fraction form
    692.03/1,036.95 = 588.89/x
  3. Step 3: Cross multiply
    692.03x = 1,036.95 × 588.89
  4. Step 4: Simplify right side
    692.03x = 610,644.30
  5. Step 5: Solve for x
    x = 610,644.30/692.03
  6. Step 6: Final answer
    x = 882.40

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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.