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Finding the Fourth Proportional to 646.86, 963.76 and 615.90

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Solution

The fourth proportional to 646.86, 963.76 and 615.90 is: 917.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.86 : 963.76 = 615.90 : x
  2. Step 2: Convert to fraction form
    646.86/963.76 = 615.90/x
  3. Step 3: Cross multiply
    646.86x = 963.76 × 615.90
  4. Step 4: Simplify right side
    646.86x = 593,578.24
  5. Step 5: Solve for x
    x = 593,578.24/646.86
  6. Step 6: Final answer
    x = 917.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.