Home / 1,056.23-1,583.27-362.57

Finding the Fourth Proportional to 1,056.23, 1,583.27 and 362.57

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Solution

The fourth proportional to 1,056.23, 1,583.27 and 362.57 is: 543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.23 : 1,583.27 = 362.57 : x
  2. Step 2: Convert to fraction form
    1,056.23/1,583.27 = 362.57/x
  3. Step 3: Cross multiply
    1,056.23x = 1,583.27 × 362.57
  4. Step 4: Simplify right side
    1,056.23x = 574,036.47
  5. Step 5: Solve for x
    x = 574,036.47/1,056.23
  6. Step 6: Final answer
    x = 543.48

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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.