Home / 1,423.14-2,134.40-498.68

Finding the Fourth Proportional to 1,423.14, 2,134.40 and 498.68

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Solution

The fourth proportional to 1,423.14, 2,134.40 and 498.68 is: 747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.14 : 2,134.40 = 498.68 : x
  2. Step 2: Convert to fraction form
    1,423.14/2,134.40 = 498.68/x
  3. Step 3: Cross multiply
    1,423.14x = 2,134.40 × 498.68
  4. Step 4: Simplify right side
    1,423.14x = 1,064,382.59
  5. Step 5: Solve for x
    x = 1,064,382.59/1,423.14
  6. Step 6: Final answer
    x = 747.91

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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.