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Finding the Fourth Proportional to 783.61, 1,081.25 and 451.96

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Solution

The fourth proportional to 783.61, 1,081.25 and 451.96 is: 623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.61 : 1,081.25 = 451.96 : x
  2. Step 2: Convert to fraction form
    783.61/1,081.25 = 451.96/x
  3. Step 3: Cross multiply
    783.61x = 1,081.25 × 451.96
  4. Step 4: Simplify right side
    783.61x = 488,679.49
  5. Step 5: Solve for x
    x = 488,679.49/783.61
  6. Step 6: Final answer
    x = 623.63

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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.