Home / 1,219.90-1,829.30-354.02

Finding the Fourth Proportional to 1,219.90, 1,829.30 and 354.02

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Solution

The fourth proportional to 1,219.90, 1,829.30 and 354.02 is: 530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.90 : 1,829.30 = 354.02 : x
  2. Step 2: Convert to fraction form
    1,219.90/1,829.30 = 354.02/x
  3. Step 3: Cross multiply
    1,219.90x = 1,829.30 × 354.02
  4. Step 4: Simplify right side
    1,219.90x = 647,608.79
  5. Step 5: Solve for x
    x = 647,608.79/1,219.90
  6. Step 6: Final answer
    x = 530.87

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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.