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Finding the Fourth Proportional to 646.22, 890.42 and 438.86

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Solution

The fourth proportional to 646.22, 890.42 and 438.86 is: 604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.22 : 890.42 = 438.86 : x
  2. Step 2: Convert to fraction form
    646.22/890.42 = 438.86/x
  3. Step 3: Cross multiply
    646.22x = 890.42 × 438.86
  4. Step 4: Simplify right side
    646.22x = 390,769.72
  5. Step 5: Solve for x
    x = 390,769.72/646.22
  6. Step 6: Final answer
    x = 604.70

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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.