Home / 1,583.19-2,374.78-543.20

Finding the Fourth Proportional to 1,583.19, 2,374.78 and 543.20

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Solution

The fourth proportional to 1,583.19, 2,374.78 and 543.20 is: 814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.19 : 2,374.78 = 543.20 : x
  2. Step 2: Convert to fraction form
    1,583.19/2,374.78 = 543.20/x
  3. Step 3: Cross multiply
    1,583.19x = 2,374.78 × 543.20
  4. Step 4: Simplify right side
    1,583.19x = 1,289,967.26
  5. Step 5: Solve for x
    x = 1,289,967.26/1,583.19
  6. Step 6: Final answer
    x = 814.79

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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.