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Finding the Fourth Proportional to 436.56, 602.08 and 412.24

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Solution

The fourth proportional to 436.56, 602.08 and 412.24 is: 568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.56 : 602.08 = 412.24 : x
  2. Step 2: Convert to fraction form
    436.56/602.08 = 412.24/x
  3. Step 3: Cross multiply
    436.56x = 602.08 × 412.24
  4. Step 4: Simplify right side
    436.56x = 248,201.46
  5. Step 5: Solve for x
    x = 248,201.46/436.56
  6. Step 6: Final answer
    x = 568.54

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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.