Home / 1,583.90-2,375.57-429.38

Finding the Fourth Proportional to 1,583.90, 2,375.57 and 429.38

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Solution

The fourth proportional to 1,583.90, 2,375.57 and 429.38 is: 643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.90 : 2,375.57 = 429.38 : x
  2. Step 2: Convert to fraction form
    1,583.90/2,375.57 = 429.38/x
  3. Step 3: Cross multiply
    1,583.90x = 2,375.57 × 429.38
  4. Step 4: Simplify right side
    1,583.90x = 1,020,011.44
  5. Step 5: Solve for x
    x = 1,020,011.44/1,583.90
  6. Step 6: Final answer
    x = 643.99

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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.