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Finding the Fourth Proportional to 777.99, 1,172.25 and 644.04

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Solution

The fourth proportional to 777.99, 1,172.25 and 644.04 is: 970.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.99 : 1,172.25 = 644.04 : x
  2. Step 2: Convert to fraction form
    777.99/1,172.25 = 644.04/x
  3. Step 3: Cross multiply
    777.99x = 1,172.25 × 644.04
  4. Step 4: Simplify right side
    777.99x = 754,975.89
  5. Step 5: Solve for x
    x = 754,975.89/777.99
  6. Step 6: Final answer
    x = 970.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.