Home / 1,590.20-2,385.14-435.88

Finding the Fourth Proportional to 1,590.20, 2,385.14 and 435.88

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Solution

The fourth proportional to 1,590.20, 2,385.14 and 435.88 is: 653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.20 : 2,385.14 = 435.88 : x
  2. Step 2: Convert to fraction form
    1,590.20/2,385.14 = 435.88/x
  3. Step 3: Cross multiply
    1,590.20x = 2,385.14 × 435.88
  4. Step 4: Simplify right side
    1,590.20x = 1,039,634.82
  5. Step 5: Solve for x
    x = 1,039,634.82/1,590.20
  6. Step 6: Final answer
    x = 653.78

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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.