Home / 1,583.74-2,375.60-429.49

Finding the Fourth Proportional to 1,583.74, 2,375.60 and 429.49

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Solution

The fourth proportional to 1,583.74, 2,375.60 and 429.49 is: 644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.74 : 2,375.60 = 429.49 : x
  2. Step 2: Convert to fraction form
    1,583.74/2,375.60 = 429.49/x
  3. Step 3: Cross multiply
    1,583.74x = 2,375.60 × 429.49
  4. Step 4: Simplify right side
    1,583.74x = 1,020,296.44
  5. Step 5: Solve for x
    x = 1,020,296.44/1,583.74
  6. Step 6: Final answer
    x = 644.23

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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.