Home / 1,498.24-2,247.60-524.20

Finding the Fourth Proportional to 1,498.24, 2,247.60 and 524.20

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Solution

The fourth proportional to 1,498.24, 2,247.60 and 524.20 is: 786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.24 : 2,247.60 = 524.20 : x
  2. Step 2: Convert to fraction form
    1,498.24/2,247.60 = 524.20/x
  3. Step 3: Cross multiply
    1,498.24x = 2,247.60 × 524.20
  4. Step 4: Simplify right side
    1,498.24x = 1,178,191.92
  5. Step 5: Solve for x
    x = 1,178,191.92/1,498.24
  6. Step 6: Final answer
    x = 786.38

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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.