Home / 1,541.67-2,312.52-445.78

Finding the Fourth Proportional to 1,541.67, 2,312.52 and 445.78

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Solution

The fourth proportional to 1,541.67, 2,312.52 and 445.78 is: 668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.67 : 2,312.52 = 445.78 : x
  2. Step 2: Convert to fraction form
    1,541.67/2,312.52 = 445.78/x
  3. Step 3: Cross multiply
    1,541.67x = 2,312.52 × 445.78
  4. Step 4: Simplify right side
    1,541.67x = 1,030,875.17
  5. Step 5: Solve for x
    x = 1,030,875.17/1,541.67
  6. Step 6: Final answer
    x = 668.67

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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.