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Finding the Fourth Proportional to 502.24, 691.85 and 436.63

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Solution

The fourth proportional to 502.24, 691.85 and 436.63 is: 601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.24 : 691.85 = 436.63 : x
  2. Step 2: Convert to fraction form
    502.24/691.85 = 436.63/x
  3. Step 3: Cross multiply
    502.24x = 691.85 × 436.63
  4. Step 4: Simplify right side
    502.24x = 302,076.82
  5. Step 5: Solve for x
    x = 302,076.82/502.24
  6. Step 6: Final answer
    x = 601.47

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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.