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Finding the Fourth Proportional to 692.84, 1,034.08 and 581.06

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Solution

The fourth proportional to 692.84, 1,034.08 and 581.06 is: 867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.84 : 1,034.08 = 581.06 : x
  2. Step 2: Convert to fraction form
    692.84/1,034.08 = 581.06/x
  3. Step 3: Cross multiply
    692.84x = 1,034.08 × 581.06
  4. Step 4: Simplify right side
    692.84x = 600,855.90
  5. Step 5: Solve for x
    x = 600,855.90/692.84
  6. Step 6: Final answer
    x = 867.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.