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Finding the Fourth Proportional to 780.50, 1,077.13 and 448.96

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Solution

The fourth proportional to 780.50, 1,077.13 and 448.96 is: 619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.50 : 1,077.13 = 448.96 : x
  2. Step 2: Convert to fraction form
    780.50/1,077.13 = 448.96/x
  3. Step 3: Cross multiply
    780.50x = 1,077.13 × 448.96
  4. Step 4: Simplify right side
    780.50x = 483,584.47
  5. Step 5: Solve for x
    x = 483,584.47/780.50
  6. Step 6: Final answer
    x = 619.59

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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.