Home / 1,532.23-2,297.88-491.98

Finding the Fourth Proportional to 1,532.23, 2,297.88 and 491.98

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Solution

The fourth proportional to 1,532.23, 2,297.88 and 491.98 is: 737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.23 : 2,297.88 = 491.98 : x
  2. Step 2: Convert to fraction form
    1,532.23/2,297.88 = 491.98/x
  3. Step 3: Cross multiply
    1,532.23x = 2,297.88 × 491.98
  4. Step 4: Simplify right side
    1,532.23x = 1,130,511.00
  5. Step 5: Solve for x
    x = 1,130,511.00/1,532.23
  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.