Home / 1,056.19-1,583.62-362.80

Finding the Fourth Proportional to 1,056.19, 1,583.62 and 362.80

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Solution

The fourth proportional to 1,056.19, 1,583.62 and 362.80 is: 543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.19 : 1,583.62 = 362.80 : x
  2. Step 2: Convert to fraction form
    1,056.19/1,583.62 = 362.80/x
  3. Step 3: Cross multiply
    1,056.19x = 1,583.62 × 362.80
  4. Step 4: Simplify right side
    1,056.19x = 574,529.50
  5. Step 5: Solve for x
    x = 574,529.50/1,056.19
  6. Step 6: Final answer
    x = 543.96

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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.