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Finding the Fourth Proportional to 646.76, 888.63 and 515.54

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Solution

The fourth proportional to 646.76, 888.63 and 515.54 is: 708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.76 : 888.63 = 515.54 : x
  2. Step 2: Convert to fraction form
    646.76/888.63 = 515.54/x
  3. Step 3: Cross multiply
    646.76x = 888.63 × 515.54
  4. Step 4: Simplify right side
    646.76x = 458,124.31
  5. Step 5: Solve for x
    x = 458,124.31/646.76
  6. Step 6: Final answer
    x = 708.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.