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Finding the Fourth Proportional to 780.84, 1,077.42 and 449.16

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Solution

The fourth proportional to 780.84, 1,077.42 and 449.16 is: 619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.84 : 1,077.42 = 449.16 : x
  2. Step 2: Convert to fraction form
    780.84/1,077.42 = 449.16/x
  3. Step 3: Cross multiply
    780.84x = 1,077.42 × 449.16
  4. Step 4: Simplify right side
    780.84x = 483,933.97
  5. Step 5: Solve for x
    x = 483,933.97/780.84
  6. Step 6: Final answer
    x = 619.76

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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.