Home / 1,582.19-2,372.63-541.98

Finding the Fourth Proportional to 1,582.19, 2,372.63 and 541.98

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Solution

The fourth proportional to 1,582.19, 2,372.63 and 541.98 is: 812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.19 : 2,372.63 = 541.98 : x
  2. Step 2: Convert to fraction form
    1,582.19/2,372.63 = 541.98/x
  3. Step 3: Cross multiply
    1,582.19x = 2,372.63 × 541.98
  4. Step 4: Simplify right side
    1,582.19x = 1,285,918.01
  5. Step 5: Solve for x
    x = 1,285,918.01/1,582.19
  6. Step 6: Final answer
    x = 812.75

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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.