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Finding the Fourth Proportional to 434.19, 646.33 and 427.71

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Solution

The fourth proportional to 434.19, 646.33 and 427.71 is: 636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.19 : 646.33 = 427.71 : x
  2. Step 2: Convert to fraction form
    434.19/646.33 = 427.71/x
  3. Step 3: Cross multiply
    434.19x = 646.33 × 427.71
  4. Step 4: Simplify right side
    434.19x = 276,440.74
  5. Step 5: Solve for x
    x = 276,440.74/434.19
  6. Step 6: Final answer
    x = 636.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.