Home / 1,440.24-2,159.91-466.14

Finding the Fourth Proportional to 1,440.24, 2,159.91 and 466.14

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Solution

The fourth proportional to 1,440.24, 2,159.91 and 466.14 is: 699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.24 : 2,159.91 = 466.14 : x
  2. Step 2: Convert to fraction form
    1,440.24/2,159.91 = 466.14/x
  3. Step 3: Cross multiply
    1,440.24x = 2,159.91 × 466.14
  4. Step 4: Simplify right side
    1,440.24x = 1,006,820.45
  5. Step 5: Solve for x
    x = 1,006,820.45/1,440.24
  6. Step 6: Final answer
    x = 699.06

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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.