Home / 1,220.15-1,829.60-397.90

Finding the Fourth Proportional to 1,220.15, 1,829.60 and 397.90

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Solution

The fourth proportional to 1,220.15, 1,829.60 and 397.90 is: 596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.15 : 1,829.60 = 397.90 : x
  2. Step 2: Convert to fraction form
    1,220.15/1,829.60 = 397.90/x
  3. Step 3: Cross multiply
    1,220.15x = 1,829.60 × 397.90
  4. Step 4: Simplify right side
    1,220.15x = 727,988.69
  5. Step 5: Solve for x
    x = 727,988.69/1,220.15
  6. Step 6: Final answer
    x = 596.64

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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.