Home / 1,583.12-2,374.78-487.56

Finding the Fourth Proportional to 1,583.12, 2,374.78 and 487.56

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Solution

The fourth proportional to 1,583.12, 2,374.78 and 487.56 is: 731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.12 : 2,374.78 = 487.56 : x
  2. Step 2: Convert to fraction form
    1,583.12/2,374.78 = 487.56/x
  3. Step 3: Cross multiply
    1,583.12x = 2,374.78 × 487.56
  4. Step 4: Simplify right side
    1,583.12x = 1,157,847.74
  5. Step 5: Solve for x
    x = 1,157,847.74/1,583.12
  6. Step 6: Final answer
    x = 731.37

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1.5x scale

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.