Home / 1,219.03-1,828.60-525.20

Finding the Fourth Proportional to 1,219.03, 1,828.60 and 525.20

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Solution

The fourth proportional to 1,219.03, 1,828.60 and 525.20 is: 787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.03 : 1,828.60 = 525.20 : x
  2. Step 2: Convert to fraction form
    1,219.03/1,828.60 = 525.20/x
  3. Step 3: Cross multiply
    1,219.03x = 1,828.60 × 525.20
  4. Step 4: Simplify right side
    1,219.03x = 960,370.26
  5. Step 5: Solve for x
    x = 960,370.26/1,219.03
  6. Step 6: Final answer
    x = 787.82

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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.