Home / 1,541.43-2,312.08-445.77

Finding the Fourth Proportional to 1,541.43, 2,312.08 and 445.77

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Solution

The fourth proportional to 1,541.43, 2,312.08 and 445.77 is: 668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.43 : 2,312.08 = 445.77 : x
  2. Step 2: Convert to fraction form
    1,541.43/2,312.08 = 445.77/x
  3. Step 3: Cross multiply
    1,541.43x = 2,312.08 × 445.77
  4. Step 4: Simplify right side
    1,541.43x = 1,030,654.79
  5. Step 5: Solve for x
    x = 1,030,654.79/1,541.43
  6. Step 6: Final answer
    x = 668.64

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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.