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Finding the Fourth Proportional to 777.18, 1,169.71 and 583.23

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Solution

The fourth proportional to 777.18, 1,169.71 and 583.23 is: 877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.18 : 1,169.71 = 583.23 : x
  2. Step 2: Convert to fraction form
    777.18/1,169.71 = 583.23/x
  3. Step 3: Cross multiply
    777.18x = 1,169.71 × 583.23
  4. Step 4: Simplify right side
    777.18x = 682,209.96
  5. Step 5: Solve for x
    x = 682,209.96/777.18
  6. Step 6: Final answer
    x = 877.80

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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.