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Finding the Fourth Proportional to 646.86, 963.33 and 618.78

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Solution

The fourth proportional to 646.86, 963.33 and 618.78 is: 921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.86 : 963.33 = 618.78 : x
  2. Step 2: Convert to fraction form
    646.86/963.33 = 618.78/x
  3. Step 3: Cross multiply
    646.86x = 963.33 × 618.78
  4. Step 4: Simplify right side
    646.86x = 596,089.34
  5. Step 5: Solve for x
    x = 596,089.34/646.86
  6. Step 6: Final answer
    x = 921.51

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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.