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Finding the Fourth Proportional to 1,482, 2,223 and 456

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Solution

The fourth proportional to 1,482, 2,223 and 456 is: 684

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482 : 2,223 = 456 : x
  2. Step 2: Convert to fraction form
    1,482/2,223 = 456/x
  3. Step 3: Cross multiply
    1,482x = 2,223 × 456
  4. Step 4: Simplify right side
    1,482x = 1,013,688
  5. Step 5: Solve for x
    x = 1,013,688/1,482
  6. Step 6: Final answer
    x = 684

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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.