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Finding the Fourth Proportional to 646.16, 967.86 and 372.12

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Solution

The fourth proportional to 646.16, 967.86 and 372.12 is: 557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.16 : 967.86 = 372.12 : x
  2. Step 2: Convert to fraction form
    646.16/967.86 = 372.12/x
  3. Step 3: Cross multiply
    646.16x = 967.86 × 372.12
  4. Step 4: Simplify right side
    646.16x = 360,160.06
  5. Step 5: Solve for x
    x = 360,160.06/646.16
  6. Step 6: Final answer
    x = 557.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.