Home / 1,583.03-2,374.54-428.78

Finding the Fourth Proportional to 1,583.03, 2,374.54 and 428.78

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Solution

The fourth proportional to 1,583.03, 2,374.54 and 428.78 is: 643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.03 : 2,374.54 = 428.78 : x
  2. Step 2: Convert to fraction form
    1,583.03/2,374.54 = 428.78/x
  3. Step 3: Cross multiply
    1,583.03x = 2,374.54 × 428.78
  4. Step 4: Simplify right side
    1,583.03x = 1,018,141.24
  5. Step 5: Solve for x
    x = 1,018,141.24/1,583.03
  6. Step 6: Final answer
    x = 643.16

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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.