Home / 1,315.23-1,972.91-437.81

Finding the Fourth Proportional to 1,315.23, 1,972.91 and 437.81

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Solution

The fourth proportional to 1,315.23, 1,972.91 and 437.81 is: 656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.23 : 1,972.91 = 437.81 : x
  2. Step 2: Convert to fraction form
    1,315.23/1,972.91 = 437.81/x
  3. Step 3: Cross multiply
    1,315.23x = 1,972.91 × 437.81
  4. Step 4: Simplify right side
    1,315.23x = 863,759.73
  5. Step 5: Solve for x
    x = 863,759.73/1,315.23
  6. Step 6: Final answer
    x = 656.74

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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.