Home / 1,541.93-2,312.83-446.27

Finding the Fourth Proportional to 1,541.93, 2,312.83 and 446.27

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Solution

The fourth proportional to 1,541.93, 2,312.83 and 446.27 is: 669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.93 : 2,312.83 = 446.27 : x
  2. Step 2: Convert to fraction form
    1,541.93/2,312.83 = 446.27/x
  3. Step 3: Cross multiply
    1,541.93x = 2,312.83 × 446.27
  4. Step 4: Simplify right side
    1,541.93x = 1,032,144.41
  5. Step 5: Solve for x
    x = 1,032,144.41/1,541.93
  6. Step 6: Final answer
    x = 669.38

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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.