Home / 1,583.09-2,374.63-428.84

Finding the Fourth Proportional to 1,583.09, 2,374.63 and 428.84

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Solution

The fourth proportional to 1,583.09, 2,374.63 and 428.84 is: 643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.09 : 2,374.63 = 428.84 : x
  2. Step 2: Convert to fraction form
    1,583.09/2,374.63 = 428.84/x
  3. Step 3: Cross multiply
    1,583.09x = 2,374.63 × 428.84
  4. Step 4: Simplify right side
    1,583.09x = 1,018,348.06
  5. Step 5: Solve for x
    x = 1,018,348.06/1,583.09
  6. Step 6: Final answer
    x = 643.26

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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.