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Finding the Fourth Proportional to 646.80, 893.12 and 516.40

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Solution

The fourth proportional to 646.80, 893.12 and 516.40 is: 713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.80 : 893.12 = 516.40 : x
  2. Step 2: Convert to fraction form
    646.80/893.12 = 516.40/x
  3. Step 3: Cross multiply
    646.80x = 893.12 × 516.40
  4. Step 4: Simplify right side
    646.80x = 461,207.17
  5. Step 5: Solve for x
    x = 461,207.17/646.80
  6. Step 6: Final answer
    x = 713.06

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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.