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Finding the Fourth Proportional to 780.44, 1,075.77 and 614.39

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Solution

The fourth proportional to 780.44, 1,075.77 and 614.39 is: 846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.44 : 1,075.77 = 614.39 : x
  2. Step 2: Convert to fraction form
    780.44/1,075.77 = 614.39/x
  3. Step 3: Cross multiply
    780.44x = 1,075.77 × 614.39
  4. Step 4: Simplify right side
    780.44x = 660,945.02
  5. Step 5: Solve for x
    x = 660,945.02/780.44
  6. Step 6: Final answer
    x = 846.88

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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.