Home / 1,420.94-2,129.67-598.25

Finding the Fourth Proportional to 1,420.94, 2,129.67 and 598.25

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Solution

The fourth proportional to 1,420.94, 2,129.67 and 598.25 is: 896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.94 : 2,129.67 = 598.25 : x
  2. Step 2: Convert to fraction form
    1,420.94/2,129.67 = 598.25/x
  3. Step 3: Cross multiply
    1,420.94x = 2,129.67 × 598.25
  4. Step 4: Simplify right side
    1,420.94x = 1,274,064.43
  5. Step 5: Solve for x
    x = 1,274,064.43/1,420.94
  6. Step 6: Final answer
    x = 896.64

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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.