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Finding the Fourth Proportional to 1,559.11, 2,338.73 and 463.45

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Solution

The fourth proportional to 1,559.11, 2,338.73 and 463.45 is: 695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.11 : 2,338.73 = 463.45 : x
  2. Step 2: Convert to fraction form
    1,559.11/2,338.73 = 463.45/x
  3. Step 3: Cross multiply
    1,559.11x = 2,338.73 × 463.45
  4. Step 4: Simplify right side
    1,559.11x = 1,083,884.42
  5. Step 5: Solve for x
    x = 1,083,884.42/1,559.11
  6. Step 6: Final answer
    x = 695.19

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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.