Home / 1,638.45-2,458.74-598.35

Finding the Fourth Proportional to 1,638.45, 2,458.74 and 598.35

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Solution

The fourth proportional to 1,638.45, 2,458.74 and 598.35 is: 897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.45 : 2,458.74 = 598.35 : x
  2. Step 2: Convert to fraction form
    1,638.45/2,458.74 = 598.35/x
  3. Step 3: Cross multiply
    1,638.45x = 2,458.74 × 598.35
  4. Step 4: Simplify right side
    1,638.45x = 1,471,187.08
  5. Step 5: Solve for x
    x = 1,471,187.08/1,638.45
  6. Step 6: Final answer
    x = 897.91

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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.