Home / 1,049.40-1,573.14-400.59

Finding the Fourth Proportional to 1,049.40, 1,573.14 and 400.59

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Solution

The fourth proportional to 1,049.40, 1,573.14 and 400.59 is: 600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.40 : 1,573.14 = 400.59 : x
  2. Step 2: Convert to fraction form
    1,049.40/1,573.14 = 400.59/x
  3. Step 3: Cross multiply
    1,049.40x = 1,573.14 × 400.59
  4. Step 4: Simplify right side
    1,049.40x = 630,184.15
  5. Step 5: Solve for x
    x = 630,184.15/1,049.40
  6. Step 6: Final answer
    x = 600.52

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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.