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Finding the Fourth Proportional to 646.71, 963.42 and 615.75

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Solution

The fourth proportional to 646.71, 963.42 and 615.75 is: 917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.71 : 963.42 = 615.75 : x
  2. Step 2: Convert to fraction form
    646.71/963.42 = 615.75/x
  3. Step 3: Cross multiply
    646.71x = 963.42 × 615.75
  4. Step 4: Simplify right side
    646.71x = 593,225.87
  5. Step 5: Solve for x
    x = 593,225.87/646.71
  6. Step 6: Final answer
    x = 917.30

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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.