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Finding the Fourth Proportional to 728.61, 1,093.59 and 453.89

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Solution

The fourth proportional to 728.61, 1,093.59 and 453.89 is: 681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.61 : 1,093.59 = 453.89 : x
  2. Step 2: Convert to fraction form
    728.61/1,093.59 = 453.89/x
  3. Step 3: Cross multiply
    728.61x = 1,093.59 × 453.89
  4. Step 4: Simplify right side
    728.61x = 496,364.10
  5. Step 5: Solve for x
    x = 496,364.10/728.61
  6. Step 6: Final answer
    x = 681.25

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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.