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Finding the Fourth Proportional to 777.59, 1,072.23 and 766.10

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Solution

The fourth proportional to 777.59, 1,072.23 and 766.10 is: 1,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.59 : 1,072.23 = 766.10 : x
  2. Step 2: Convert to fraction form
    777.59/1,072.23 = 766.10/x
  3. Step 3: Cross multiply
    777.59x = 1,072.23 × 766.10
  4. Step 4: Simplify right side
    777.59x = 821,430.04
  5. Step 5: Solve for x
    x = 821,430.04/777.59
  6. Step 6: Final answer
    x = 1,056.39

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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.