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Finding the Fourth Proportional to 692.81, 1,042.70 and 520.38

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Solution

The fourth proportional to 692.81, 1,042.70 and 520.38 is: 783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.81 : 1,042.70 = 520.38 : x
  2. Step 2: Convert to fraction form
    692.81/1,042.70 = 520.38/x
  3. Step 3: Cross multiply
    692.81x = 1,042.70 × 520.38
  4. Step 4: Simplify right side
    692.81x = 542,592.41
  5. Step 5: Solve for x
    x = 542,592.41/692.81
  6. Step 6: Final answer
    x = 783.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.