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Finding the Fourth Proportional to 502.83, 692.06 and 440.82

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Solution

The fourth proportional to 502.83, 692.06 and 440.82 is: 606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.83 : 692.06 = 440.82 : x
  2. Step 2: Convert to fraction form
    502.83/692.06 = 440.82/x
  3. Step 3: Cross multiply
    502.83x = 692.06 × 440.82
  4. Step 4: Simplify right side
    502.83x = 305,071.69
  5. Step 5: Solve for x
    x = 305,071.69/502.83
  6. Step 6: Final answer
    x = 606.71

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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.