Home / 1,531.21-2,297.70-653.66

Finding the Fourth Proportional to 1,531.21, 2,297.70 and 653.66

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Solution

The fourth proportional to 1,531.21, 2,297.70 and 653.66 is: 980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.21 : 2,297.70 = 653.66 : x
  2. Step 2: Convert to fraction form
    1,531.21/2,297.70 = 653.66/x
  3. Step 3: Cross multiply
    1,531.21x = 2,297.70 × 653.66
  4. Step 4: Simplify right side
    1,531.21x = 1,501,911.31
  5. Step 5: Solve for x
    x = 1,501,911.31/1,531.21
  6. Step 6: Final answer
    x = 980.87

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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.