Home / 1,531.58-2,297.40-435.98

Finding the Fourth Proportional to 1,531.58, 2,297.40 and 435.98

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Solution

The fourth proportional to 1,531.58, 2,297.40 and 435.98 is: 653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.58 : 2,297.40 = 435.98 : x
  2. Step 2: Convert to fraction form
    1,531.58/2,297.40 = 435.98/x
  3. Step 3: Cross multiply
    1,531.58x = 2,297.40 × 435.98
  4. Step 4: Simplify right side
    1,531.58x = 1,001,620.45
  5. Step 5: Solve for x
    x = 1,001,620.45/1,531.58
  6. Step 6: Final answer
    x = 653.98

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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.