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Finding the Fourth Proportional to 646.68, 967.14 and 579.18

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Solution

The fourth proportional to 646.68, 967.14 and 579.18 is: 866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.68 : 967.14 = 579.18 : x
  2. Step 2: Convert to fraction form
    646.68/967.14 = 579.18/x
  3. Step 3: Cross multiply
    646.68x = 967.14 × 579.18
  4. Step 4: Simplify right side
    646.68x = 560,148.15
  5. Step 5: Solve for x
    x = 560,148.15/646.68
  6. Step 6: Final answer
    x = 866.19

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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.