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Finding the Fourth Proportional to 1,400, 2,100 and 488

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Solution

The fourth proportional to 1,400, 2,100 and 488 is: 732

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400 : 2,100 = 488 : x
  2. Step 2: Convert to fraction form
    1,400/2,100 = 488/x
  3. Step 3: Cross multiply
    1,400x = 2,100 × 488
  4. Step 4: Simplify right side
    1,400x = 1,024,800
  5. Step 5: Solve for x
    x = 1,024,800/1,400
  6. Step 6: Final answer
    x = 732

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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.