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Finding the Fourth Proportional to 692.86, 1,038.21 and 539.20

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Solution

The fourth proportional to 692.86, 1,038.21 and 539.20 is: 807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.86 : 1,038.21 = 539.20 : x
  2. Step 2: Convert to fraction form
    692.86/1,038.21 = 539.20/x
  3. Step 3: Cross multiply
    692.86x = 1,038.21 × 539.20
  4. Step 4: Simplify right side
    692.86x = 559,802.83
  5. Step 5: Solve for x
    x = 559,802.83/692.86
  6. Step 6: Final answer
    x = 807.96

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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.