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Finding the Fourth Proportional to 646.41, 892.06 and 384.43

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Solution

The fourth proportional to 646.41, 892.06 and 384.43 is: 530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.41 : 892.06 = 384.43 : x
  2. Step 2: Convert to fraction form
    646.41/892.06 = 384.43/x
  3. Step 3: Cross multiply
    646.41x = 892.06 × 384.43
  4. Step 4: Simplify right side
    646.41x = 342,934.63
  5. Step 5: Solve for x
    x = 342,934.63/646.41
  6. Step 6: Final answer
    x = 530.52

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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.