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Finding the Fourth Proportional to 1,629.98, 2,440.80 and 898.75

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Solution

The fourth proportional to 1,629.98, 2,440.80 and 898.75 is: 1,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.98 : 2,440.80 = 898.75 : x
  2. Step 2: Convert to fraction form
    1,629.98/2,440.80 = 898.75/x
  3. Step 3: Cross multiply
    1,629.98x = 2,440.80 × 898.75
  4. Step 4: Simplify right side
    1,629.98x = 2,193,662.90
  5. Step 5: Solve for x
    x = 2,193,662.90/1,629.98
  6. Step 6: Final answer
    x = 1,345.82

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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.