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Finding the Fourth Proportional to 777.01, 1,160.48 and 660.22

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Solution

The fourth proportional to 777.01, 1,160.48 and 660.22 is: 986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.01 : 1,160.48 = 660.22 : x
  2. Step 2: Convert to fraction form
    777.01/1,160.48 = 660.22/x
  3. Step 3: Cross multiply
    777.01x = 1,160.48 × 660.22
  4. Step 4: Simplify right side
    777.01x = 766,172.11
  5. Step 5: Solve for x
    x = 766,172.11/777.01
  6. Step 6: Final answer
    x = 986.05

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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.