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Finding the Fourth Proportional to 692.97, 1,038.57 and 577.27

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Solution

The fourth proportional to 692.97, 1,038.57 and 577.27 is: 865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.97 : 1,038.57 = 577.27 : x
  2. Step 2: Convert to fraction form
    692.97/1,038.57 = 577.27/x
  3. Step 3: Cross multiply
    692.97x = 1,038.57 × 577.27
  4. Step 4: Simplify right side
    692.97x = 599,535.30
  5. Step 5: Solve for x
    x = 599,535.30/692.97
  6. Step 6: Final answer
    x = 865.17

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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.