Home / 1,482.14-2,223.53-442.23

Finding the Fourth Proportional to 1,482.14, 2,223.53 and 442.23

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Solution

The fourth proportional to 1,482.14, 2,223.53 and 442.23 is: 663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.14 : 2,223.53 = 442.23 : x
  2. Step 2: Convert to fraction form
    1,482.14/2,223.53 = 442.23/x
  3. Step 3: Cross multiply
    1,482.14x = 2,223.53 × 442.23
  4. Step 4: Simplify right side
    1,482.14x = 983,309.44
  5. Step 5: Solve for x
    x = 983,309.44/1,482.14
  6. Step 6: Final answer
    x = 663.44

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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.