Home / 1,004.30-1,385.76-584.67

Finding the Fourth Proportional to 1,004.30, 1,385.76 and 584.67

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Solution

The fourth proportional to 1,004.30, 1,385.76 and 584.67 is: 806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.30 : 1,385.76 = 584.67 : x
  2. Step 2: Convert to fraction form
    1,004.30/1,385.76 = 584.67/x
  3. Step 3: Cross multiply
    1,004.30x = 1,385.76 × 584.67
  4. Step 4: Simplify right side
    1,004.30x = 810,208.60
  5. Step 5: Solve for x
    x = 810,208.60/1,004.30
  6. Step 6: Final answer
    x = 806.74

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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.