Home / 1,004.20-1,385.46-589.96

Finding the Fourth Proportional to 1,004.20, 1,385.46 and 589.96

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Solution

The fourth proportional to 1,004.20, 1,385.46 and 589.96 is: 813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.20 : 1,385.46 = 589.96 : x
  2. Step 2: Convert to fraction form
    1,004.20/1,385.46 = 589.96/x
  3. Step 3: Cross multiply
    1,004.20x = 1,385.46 × 589.96
  4. Step 4: Simplify right side
    1,004.20x = 817,365.98
  5. Step 5: Solve for x
    x = 817,365.98/1,004.20
  6. Step 6: Final answer
    x = 813.95

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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.