Home / 1,423.36-2,134.96-498.56

Finding the Fourth Proportional to 1,423.36, 2,134.96 and 498.56

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Solution

The fourth proportional to 1,423.36, 2,134.96 and 498.56 is: 747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.36 : 2,134.96 = 498.56 : x
  2. Step 2: Convert to fraction form
    1,423.36/2,134.96 = 498.56/x
  3. Step 3: Cross multiply
    1,423.36x = 2,134.96 × 498.56
  4. Step 4: Simplify right side
    1,423.36x = 1,064,405.66
  5. Step 5: Solve for x
    x = 1,064,405.66/1,423.36
  6. Step 6: Final answer
    x = 747.81

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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.