Home / 1,219.23-1,829.16-397.58

Finding the Fourth Proportional to 1,219.23, 1,829.16 and 397.58

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Solution

The fourth proportional to 1,219.23, 1,829.16 and 397.58 is: 596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.23 : 1,829.16 = 397.58 : x
  2. Step 2: Convert to fraction form
    1,219.23/1,829.16 = 397.58/x
  3. Step 3: Cross multiply
    1,219.23x = 1,829.16 × 397.58
  4. Step 4: Simplify right side
    1,219.23x = 727,228.29
  5. Step 5: Solve for x
    x = 727,228.29/1,219.23
  6. Step 6: Final answer
    x = 596.47

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1.5x scale

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.