Home / 1,004.07-1,385.80-584.55

Finding the Fourth Proportional to 1,004.07, 1,385.80 and 584.55

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Solution

The fourth proportional to 1,004.07, 1,385.80 and 584.55 is: 806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.07 : 1,385.80 = 584.55 : x
  2. Step 2: Convert to fraction form
    1,004.07/1,385.80 = 584.55/x
  3. Step 3: Cross multiply
    1,004.07x = 1,385.80 × 584.55
  4. Step 4: Simplify right side
    1,004.07x = 810,069.39
  5. Step 5: Solve for x
    x = 810,069.39/1,004.07
  6. Step 6: Final answer
    x = 806.79

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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.