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Finding the Fourth Proportional to 1,559.88, 2,338.98 and 464.10

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Solution

The fourth proportional to 1,559.88, 2,338.98 and 464.10 is: 695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.88 : 2,338.98 = 464.10 : x
  2. Step 2: Convert to fraction form
    1,559.88/2,338.98 = 464.10/x
  3. Step 3: Cross multiply
    1,559.88x = 2,338.98 × 464.10
  4. Step 4: Simplify right side
    1,559.88x = 1,085,520.62
  5. Step 5: Solve for x
    x = 1,085,520.62/1,559.88
  6. Step 6: Final answer
    x = 695.90

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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.