Home / 1,509.23-2,262.13-685.67

Finding the Fourth Proportional to 1,509.23, 2,262.13 and 685.67

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Solution

The fourth proportional to 1,509.23, 2,262.13 and 685.67 is: 1,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.23 : 2,262.13 = 685.67 : x
  2. Step 2: Convert to fraction form
    1,509.23/2,262.13 = 685.67/x
  3. Step 3: Cross multiply
    1,509.23x = 2,262.13 × 685.67
  4. Step 4: Simplify right side
    1,509.23x = 1,551,061.65
  5. Step 5: Solve for x
    x = 1,551,061.65/1,509.23
  6. Step 6: Final answer
    x = 1,027.72

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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.