Home / 1,200.24-1,800.18-470.31

Finding the Fourth Proportional to 1,200.24, 1,800.18 and 470.31

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Solution

The fourth proportional to 1,200.24, 1,800.18 and 470.31 is: 705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.24 : 1,800.18 = 470.31 : x
  2. Step 2: Convert to fraction form
    1,200.24/1,800.18 = 470.31/x
  3. Step 3: Cross multiply
    1,200.24x = 1,800.18 × 470.31
  4. Step 4: Simplify right side
    1,200.24x = 846,642.66
  5. Step 5: Solve for x
    x = 846,642.66/1,200.24
  6. Step 6: Final answer
    x = 705.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.