Home / 1,320.24-1,980.45-498.36

Finding the Fourth Proportional to 1,320.24, 1,980.45 and 498.36

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Solution

The fourth proportional to 1,320.24, 1,980.45 and 498.36 is: 747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.24 : 1,980.45 = 498.36 : x
  2. Step 2: Convert to fraction form
    1,320.24/1,980.45 = 498.36/x
  3. Step 3: Cross multiply
    1,320.24x = 1,980.45 × 498.36
  4. Step 4: Simplify right side
    1,320.24x = 986,977.06
  5. Step 5: Solve for x
    x = 986,977.06/1,320.24
  6. Step 6: Final answer
    x = 747.57

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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.