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Finding the Fourth Proportional to 780, 1,075.84 and 481.24

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Solution

The fourth proportional to 780, 1,075.84 and 481.24 is: 663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    780 : 1,075.84 = 481.24 : x
  2. Step 2: Convert to fraction form
    780/1,075.84 = 481.24/x
  3. Step 3: Cross multiply
    780x = 1,075.84 × 481.24
  4. Step 4: Simplify right side
    780x = 517,737.24
  5. Step 5: Solve for x
    x = 517,737.24/780
  6. Step 6: Final answer
    x = 663.77

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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.