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Finding the Fourth Proportional to 436.12, 658.06 and 419.24

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Solution

The fourth proportional to 436.12, 658.06 and 419.24 is: 632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.12 : 658.06 = 419.24 : x
  2. Step 2: Convert to fraction form
    436.12/658.06 = 419.24/x
  3. Step 3: Cross multiply
    436.12x = 658.06 × 419.24
  4. Step 4: Simplify right side
    436.12x = 275,885.07
  5. Step 5: Solve for x
    x = 275,885.07/436.12
  6. Step 6: Final answer
    x = 632.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.