Home / 1,582.41-2,372.76-486.48

Finding the Fourth Proportional to 1,582.41, 2,372.76 and 486.48

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Solution

The fourth proportional to 1,582.41, 2,372.76 and 486.48 is: 729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.41 : 2,372.76 = 486.48 : x
  2. Step 2: Convert to fraction form
    1,582.41/2,372.76 = 486.48/x
  3. Step 3: Cross multiply
    1,582.41x = 2,372.76 × 486.48
  4. Step 4: Simplify right side
    1,582.41x = 1,154,300.28
  5. Step 5: Solve for x
    x = 1,154,300.28/1,582.41
  6. Step 6: Final answer
    x = 729.46

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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.