Home / 1,146.50-1,719.83-497.06

Finding the Fourth Proportional to 1,146.50, 1,719.83 and 497.06

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Solution

The fourth proportional to 1,146.50, 1,719.83 and 497.06 is: 745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.50 : 1,719.83 = 497.06 : x
  2. Step 2: Convert to fraction form
    1,146.50/1,719.83 = 497.06/x
  3. Step 3: Cross multiply
    1,146.50x = 1,719.83 × 497.06
  4. Step 4: Simplify right side
    1,146.50x = 854,858.70
  5. Step 5: Solve for x
    x = 854,858.70/1,146.50
  6. Step 6: Final answer
    x = 745.62

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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.