Home / 1,434.40-2,152.20-460.80

Finding the Fourth Proportional to 1,434.40, 2,152.20 and 460.80

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Solution

The fourth proportional to 1,434.40, 2,152.20 and 460.80 is: 691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.40 : 2,152.20 = 460.80 : x
  2. Step 2: Convert to fraction form
    1,434.40/2,152.20 = 460.80/x
  3. Step 3: Cross multiply
    1,434.40x = 2,152.20 × 460.80
  4. Step 4: Simplify right side
    1,434.40x = 991,733.76
  5. Step 5: Solve for x
    x = 991,733.76/1,434.40
  6. Step 6: Final answer
    x = 691.39

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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.