Home / 1,419.13-2,128.35-597.42

Finding the Fourth Proportional to 1,419.13, 2,128.35 and 597.42

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Solution

The fourth proportional to 1,419.13, 2,128.35 and 597.42 is: 895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.13 : 2,128.35 = 597.42 : x
  2. Step 2: Convert to fraction form
    1,419.13/2,128.35 = 597.42/x
  3. Step 3: Cross multiply
    1,419.13x = 2,128.35 × 597.42
  4. Step 4: Simplify right side
    1,419.13x = 1,271,518.86
  5. Step 5: Solve for x
    x = 1,271,518.86/1,419.13
  6. Step 6: Final answer
    x = 895.98

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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.