Home / 1,421.34-2,131.36-599.16

Finding the Fourth Proportional to 1,421.34, 2,131.36 and 599.16

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Solution

The fourth proportional to 1,421.34, 2,131.36 and 599.16 is: 898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.34 : 2,131.36 = 599.16 : x
  2. Step 2: Convert to fraction form
    1,421.34/2,131.36 = 599.16/x
  3. Step 3: Cross multiply
    1,421.34x = 2,131.36 × 599.16
  4. Step 4: Simplify right side
    1,421.34x = 1,277,032.15
  5. Step 5: Solve for x
    x = 1,277,032.15/1,421.34
  6. Step 6: Final answer
    x = 898.47

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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.