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Finding the Fourth Proportional to 1,404.98, 2,107.48 and 378.98

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Solution

The fourth proportional to 1,404.98, 2,107.48 and 378.98 is: 568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.98 : 2,107.48 = 378.98 : x
  2. Step 2: Convert to fraction form
    1,404.98/2,107.48 = 378.98/x
  3. Step 3: Cross multiply
    1,404.98x = 2,107.48 × 378.98
  4. Step 4: Simplify right side
    1,404.98x = 798,700.69
  5. Step 5: Solve for x
    x = 798,700.69/1,404.98
  6. Step 6: Final answer
    x = 568.48

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1.5x scale

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.