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Finding the Fourth Proportional to 783.52, 1,081.20 and 451.94

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Solution

The fourth proportional to 783.52, 1,081.20 and 451.94 is: 623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.52 : 1,081.20 = 451.94 : x
  2. Step 2: Convert to fraction form
    783.52/1,081.20 = 451.94/x
  3. Step 3: Cross multiply
    783.52x = 1,081.20 × 451.94
  4. Step 4: Simplify right side
    783.52x = 488,637.53
  5. Step 5: Solve for x
    x = 488,637.53/783.52
  6. Step 6: Final answer
    x = 623.64

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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.