Home / 1,315.24-1,972.99-437.75

Finding the Fourth Proportional to 1,315.24, 1,972.99 and 437.75

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Solution

The fourth proportional to 1,315.24, 1,972.99 and 437.75 is: 656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.24 : 1,972.99 = 437.75 : x
  2. Step 2: Convert to fraction form
    1,315.24/1,972.99 = 437.75/x
  3. Step 3: Cross multiply
    1,315.24x = 1,972.99 × 437.75
  4. Step 4: Simplify right side
    1,315.24x = 863,676.37
  5. Step 5: Solve for x
    x = 863,676.37/1,315.24
  6. Step 6: Final answer
    x = 656.67

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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.