Home / 1,502.18-2,253.19-406.47

Finding the Fourth Proportional to 1,502.18, 2,253.19 and 406.47

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Solution

The fourth proportional to 1,502.18, 2,253.19 and 406.47 is: 609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.18 : 2,253.19 = 406.47 : x
  2. Step 2: Convert to fraction form
    1,502.18/2,253.19 = 406.47/x
  3. Step 3: Cross multiply
    1,502.18x = 2,253.19 × 406.47
  4. Step 4: Simplify right side
    1,502.18x = 915,840.84
  5. Step 5: Solve for x
    x = 915,840.84/1,502.18
  6. Step 6: Final answer
    x = 609.67

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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.