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Finding the Fourth Proportional to 502.23, 692.43 and 413.40

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Solution

The fourth proportional to 502.23, 692.43 and 413.40 is: 569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.23 : 692.43 = 413.40 : x
  2. Step 2: Convert to fraction form
    502.23/692.43 = 413.40/x
  3. Step 3: Cross multiply
    502.23x = 692.43 × 413.40
  4. Step 4: Simplify right side
    502.23x = 286,250.56
  5. Step 5: Solve for x
    x = 286,250.56/502.23
  6. Step 6: Final answer
    x = 569.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.