Home / 1,419.35-2,128.52-597.20

Finding the Fourth Proportional to 1,419.35, 2,128.52 and 597.20

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Solution

The fourth proportional to 1,419.35, 2,128.52 and 597.20 is: 895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.35 : 2,128.52 = 597.20 : x
  2. Step 2: Convert to fraction form
    1,419.35/2,128.52 = 597.20/x
  3. Step 3: Cross multiply
    1,419.35x = 2,128.52 × 597.20
  4. Step 4: Simplify right side
    1,419.35x = 1,271,138.52
  5. Step 5: Solve for x
    x = 1,271,138.52/1,419.35
  6. Step 6: Final answer
    x = 895.58

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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.