Home / 1,419.32-2,128.80-597.92

Finding the Fourth Proportional to 1,419.32, 2,128.80 and 597.92

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Solution

The fourth proportional to 1,419.32, 2,128.80 and 597.92 is: 896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.32 : 2,128.80 = 597.92 : x
  2. Step 2: Convert to fraction form
    1,419.32/2,128.80 = 597.92/x
  3. Step 3: Cross multiply
    1,419.32x = 2,128.80 × 597.92
  4. Step 4: Simplify right side
    1,419.32x = 1,272,852.10
  5. Step 5: Solve for x
    x = 1,272,852.10/1,419.32
  6. Step 6: Final answer
    x = 896.80

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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.