Home / 1,433.09-2,148.42-458.66

Finding the Fourth Proportional to 1,433.09, 2,148.42 and 458.66

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Solution

The fourth proportional to 1,433.09, 2,148.42 and 458.66 is: 687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.09 : 2,148.42 = 458.66 : x
  2. Step 2: Convert to fraction form
    1,433.09/2,148.42 = 458.66/x
  3. Step 3: Cross multiply
    1,433.09x = 2,148.42 × 458.66
  4. Step 4: Simplify right side
    1,433.09x = 985,394.32
  5. Step 5: Solve for x
    x = 985,394.32/1,433.09
  6. Step 6: Final answer
    x = 687.60

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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.