Home / 1,531.58-2,297.64-491.82

Finding the Fourth Proportional to 1,531.58, 2,297.64 and 491.82

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Solution

The fourth proportional to 1,531.58, 2,297.64 and 491.82 is: 737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.58 : 2,297.64 = 491.82 : x
  2. Step 2: Convert to fraction form
    1,531.58/2,297.64 = 491.82/x
  3. Step 3: Cross multiply
    1,531.58x = 2,297.64 × 491.82
  4. Step 4: Simplify right side
    1,531.58x = 1,130,025.30
  5. Step 5: Solve for x
    x = 1,130,025.30/1,531.58
  6. Step 6: Final answer
    x = 737.82

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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.