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Finding the Fourth Proportional to 502.03, 692.87 and 305.54

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Solution

The fourth proportional to 502.03, 692.87 and 305.54 is: 421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.03 : 692.87 = 305.54 : x
  2. Step 2: Convert to fraction form
    502.03/692.87 = 305.54/x
  3. Step 3: Cross multiply
    502.03x = 692.87 × 305.54
  4. Step 4: Simplify right side
    502.03x = 211,699.50
  5. Step 5: Solve for x
    x = 211,699.50/502.03
  6. Step 6: Final answer
    x = 421.69

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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.