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Finding the Fourth Proportional to 783.49, 1,081.25 and 451.92

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Solution

The fourth proportional to 783.49, 1,081.25 and 451.92 is: 623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.49 : 1,081.25 = 451.92 : x
  2. Step 2: Convert to fraction form
    783.49/1,081.25 = 451.92/x
  3. Step 3: Cross multiply
    783.49x = 1,081.25 × 451.92
  4. Step 4: Simplify right side
    783.49x = 488,636.24
  5. Step 5: Solve for x
    x = 488,636.24/783.49
  6. Step 6: Final answer
    x = 623.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.