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Finding the Fourth Proportional to 646.81, 893.52 and 515.65

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Solution

The fourth proportional to 646.81, 893.52 and 515.65 is: 712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.81 : 893.52 = 515.65 : x
  2. Step 2: Convert to fraction form
    646.81/893.52 = 515.65/x
  3. Step 3: Cross multiply
    646.81x = 893.52 × 515.65
  4. Step 4: Simplify right side
    646.81x = 460,743.59
  5. Step 5: Solve for x
    x = 460,743.59/646.81
  6. Step 6: Final answer
    x = 712.33

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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.