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Finding the Fourth Proportional to 692.60, 1,039.50 and 545.99

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Solution

The fourth proportional to 692.60, 1,039.50 and 545.99 is: 819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.60 : 1,039.50 = 545.99 : x
  2. Step 2: Convert to fraction form
    692.60/1,039.50 = 545.99/x
  3. Step 3: Cross multiply
    692.60x = 1,039.50 × 545.99
  4. Step 4: Simplify right side
    692.60x = 567,551.41
  5. Step 5: Solve for x
    x = 567,551.41/692.60
  6. Step 6: Final answer
    x = 819.46

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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.