Home / 1,583.54-2,374.99-429.02

Finding the Fourth Proportional to 1,583.54, 2,374.99 and 429.02

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Solution

The fourth proportional to 1,583.54, 2,374.99 and 429.02 is: 643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.54 : 2,374.99 = 429.02 : x
  2. Step 2: Convert to fraction form
    1,583.54/2,374.99 = 429.02/x
  3. Step 3: Cross multiply
    1,583.54x = 2,374.99 × 429.02
  4. Step 4: Simplify right side
    1,583.54x = 1,018,918.21
  5. Step 5: Solve for x
    x = 1,018,918.21/1,583.54
  6. Step 6: Final answer
    x = 643.44

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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.