Home / 1,464.02-2,195.30-489.98

Finding the Fourth Proportional to 1,464.02, 2,195.30 and 489.98

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Solution

The fourth proportional to 1,464.02, 2,195.30 and 489.98 is: 734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.02 : 2,195.30 = 489.98 : x
  2. Step 2: Convert to fraction form
    1,464.02/2,195.30 = 489.98/x
  3. Step 3: Cross multiply
    1,464.02x = 2,195.30 × 489.98
  4. Step 4: Simplify right side
    1,464.02x = 1,075,653.09
  5. Step 5: Solve for x
    x = 1,075,653.09/1,464.02
  6. Step 6: Final answer
    x = 734.73

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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.