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Finding the Fourth Proportional to 780.44, 1,076.87 and 448.88

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Solution

The fourth proportional to 780.44, 1,076.87 and 448.88 is: 619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.44 : 1,076.87 = 448.88 : x
  2. Step 2: Convert to fraction form
    780.44/1,076.87 = 448.88/x
  3. Step 3: Cross multiply
    780.44x = 1,076.87 × 448.88
  4. Step 4: Simplify right side
    780.44x = 483,385.41
  5. Step 5: Solve for x
    x = 483,385.41/780.44
  6. Step 6: Final answer
    x = 619.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.