Home / 1,419.40-2,129.42-597.21

Finding the Fourth Proportional to 1,419.40, 2,129.42 and 597.21

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Solution

The fourth proportional to 1,419.40, 2,129.42 and 597.21 is: 895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.40 : 2,129.42 = 597.21 : x
  2. Step 2: Convert to fraction form
    1,419.40/2,129.42 = 597.21/x
  3. Step 3: Cross multiply
    1,419.40x = 2,129.42 × 597.21
  4. Step 4: Simplify right side
    1,419.40x = 1,271,710.92
  5. Step 5: Solve for x
    x = 1,271,710.92/1,419.40
  6. Step 6: Final answer
    x = 895.95

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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.