Home / 1,531.75-2,297.64-491.77

Finding the Fourth Proportional to 1,531.75, 2,297.64 and 491.77

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Solution

The fourth proportional to 1,531.75, 2,297.64 and 491.77 is: 737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.75 : 2,297.64 = 491.77 : x
  2. Step 2: Convert to fraction form
    1,531.75/2,297.64 = 491.77/x
  3. Step 3: Cross multiply
    1,531.75x = 2,297.64 × 491.77
  4. Step 4: Simplify right side
    1,531.75x = 1,129,910.42
  5. Step 5: Solve for x
    x = 1,129,910.42/1,531.75
  6. Step 6: Final answer
    x = 737.66

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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.