Home / 1,458.14-2,186.83-417.90

Finding the Fourth Proportional to 1,458.14, 2,186.83 and 417.90

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Solution

The fourth proportional to 1,458.14, 2,186.83 and 417.90 is: 626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.14 : 2,186.83 = 417.90 : x
  2. Step 2: Convert to fraction form
    1,458.14/2,186.83 = 417.90/x
  3. Step 3: Cross multiply
    1,458.14x = 2,186.83 × 417.90
  4. Step 4: Simplify right side
    1,458.14x = 913,884.98
  5. Step 5: Solve for x
    x = 913,884.98/1,458.14
  6. Step 6: Final answer
    x = 626.75

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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.