Home / 1,583.03-2,374.81-543.13

Finding the Fourth Proportional to 1,583.03, 2,374.81 and 543.13

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Solution

The fourth proportional to 1,583.03, 2,374.81 and 543.13 is: 814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.03 : 2,374.81 = 543.13 : x
  2. Step 2: Convert to fraction form
    1,583.03/2,374.81 = 543.13/x
  3. Step 3: Cross multiply
    1,583.03x = 2,374.81 × 543.13
  4. Step 4: Simplify right side
    1,583.03x = 1,289,823.26
  5. Step 5: Solve for x
    x = 1,289,823.26/1,583.03
  6. Step 6: Final answer
    x = 814.78

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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.