Home / 1,541.88-2,312.46-446.00

Finding the Fourth Proportional to 1,541.88, 2,312.46 and 446.00

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Solution

The fourth proportional to 1,541.88, 2,312.46 and 446.00 is: 668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.88 : 2,312.46 = 446.00 : x
  2. Step 2: Convert to fraction form
    1,541.88/2,312.46 = 446.00/x
  3. Step 3: Cross multiply
    1,541.88x = 2,312.46 × 446.00
  4. Step 4: Simplify right side
    1,541.88x = 1,031,345.60
  5. Step 5: Solve for x
    x = 1,031,345.60/1,541.88
  6. Step 6: Final answer
    x = 668.89

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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.