Home / 1,531.89-2,297.62-491.76

Finding the Fourth Proportional to 1,531.89, 2,297.62 and 491.76

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Solution

The fourth proportional to 1,531.89, 2,297.62 and 491.76 is: 737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.89 : 2,297.62 = 491.76 : x
  2. Step 2: Convert to fraction form
    1,531.89/2,297.62 = 491.76/x
  3. Step 3: Cross multiply
    1,531.89x = 2,297.62 × 491.76
  4. Step 4: Simplify right side
    1,531.89x = 1,129,869.92
  5. Step 5: Solve for x
    x = 1,129,869.92/1,531.89
  6. Step 6: Final answer
    x = 737.57

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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.