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Finding the Fourth Proportional to 1,577.50, 2,366.10 and 481.79

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Solution

The fourth proportional to 1,577.50, 2,366.10 and 481.79 is: 722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.50 : 2,366.10 = 481.79 : x
  2. Step 2: Convert to fraction form
    1,577.50/2,366.10 = 481.79/x
  3. Step 3: Cross multiply
    1,577.50x = 2,366.10 × 481.79
  4. Step 4: Simplify right side
    1,577.50x = 1,139,969.23
  5. Step 5: Solve for x
    x = 1,139,969.23/1,577.50
  6. Step 6: Final answer
    x = 722.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.