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Finding the Fourth Proportional to 644.96, 890.08 and 412.48

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Solution

The fourth proportional to 644.96, 890.08 and 412.48 is: 569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.96 : 890.08 = 412.48 : x
  2. Step 2: Convert to fraction form
    644.96/890.08 = 412.48/x
  3. Step 3: Cross multiply
    644.96x = 890.08 × 412.48
  4. Step 4: Simplify right side
    644.96x = 367,140.20
  5. Step 5: Solve for x
    x = 367,140.20/644.96
  6. Step 6: Final answer
    x = 569.24

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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.