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Finding the Fourth Proportional to 646.17, 891.31 and 384

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Solution

The fourth proportional to 646.17, 891.31 and 384 is: 529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.17 : 891.31 = 384 : x
  2. Step 2: Convert to fraction form
    646.17/891.31 = 384/x
  3. Step 3: Cross multiply
    646.17x = 891.31 × 384
  4. Step 4: Simplify right side
    646.17x = 342,263.04
  5. Step 5: Solve for x
    x = 342,263.04/646.17
  6. Step 6: Final answer
    x = 529.68

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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.