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Finding the Fourth Proportional to 985.86, 1,478.96 and 777.41

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Solution

The fourth proportional to 985.86, 1,478.96 and 777.41 is: 1,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.86 : 1,478.96 = 777.41 : x
  2. Step 2: Convert to fraction form
    985.86/1,478.96 = 777.41/x
  3. Step 3: Cross multiply
    985.86x = 1,478.96 × 777.41
  4. Step 4: Simplify right side
    985.86x = 1,149,757.55
  5. Step 5: Solve for x
    x = 1,149,757.55/985.86
  6. Step 6: Final answer
    x = 1,166.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.