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Finding the Fourth Proportional to 692.81, 1,038.52 and 569.79

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Solution

The fourth proportional to 692.81, 1,038.52 and 569.79 is: 854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.81 : 1,038.52 = 569.79 : x
  2. Step 2: Convert to fraction form
    692.81/1,038.52 = 569.79/x
  3. Step 3: Cross multiply
    692.81x = 1,038.52 × 569.79
  4. Step 4: Simplify right side
    692.81x = 591,735.13
  5. Step 5: Solve for x
    x = 591,735.13/692.81
  6. Step 6: Final answer
    x = 854.11

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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.