Home / 1,444.24-2,166.44-470.64

Finding the Fourth Proportional to 1,444.24, 2,166.44 and 470.64

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Solution

The fourth proportional to 1,444.24, 2,166.44 and 470.64 is: 705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.24 : 2,166.44 = 470.64 : x
  2. Step 2: Convert to fraction form
    1,444.24/2,166.44 = 470.64/x
  3. Step 3: Cross multiply
    1,444.24x = 2,166.44 × 470.64
  4. Step 4: Simplify right side
    1,444.24x = 1,019,613.32
  5. Step 5: Solve for x
    x = 1,019,613.32/1,444.24
  6. Step 6: Final answer
    x = 705.99

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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.