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Finding the Fourth Proportional to 503.06, 692.97 and 429.62

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Solution

The fourth proportional to 503.06, 692.97 and 429.62 is: 591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.06 : 692.97 = 429.62 : x
  2. Step 2: Convert to fraction form
    503.06/692.97 = 429.62/x
  3. Step 3: Cross multiply
    503.06x = 692.97 × 429.62
  4. Step 4: Simplify right side
    503.06x = 297,713.77
  5. Step 5: Solve for x
    x = 297,713.77/503.06
  6. Step 6: Final answer
    x = 591.81

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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.