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Finding the Fourth Proportional to 777.15, 1,072.56 and 436.53

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Solution

The fourth proportional to 777.15, 1,072.56 and 436.53 is: 602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.15 : 1,072.56 = 436.53 : x
  2. Step 2: Convert to fraction form
    777.15/1,072.56 = 436.53/x
  3. Step 3: Cross multiply
    777.15x = 1,072.56 × 436.53
  4. Step 4: Simplify right side
    777.15x = 468,202.73
  5. Step 5: Solve for x
    x = 468,202.73/777.15
  6. Step 6: Final answer
    x = 602.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.