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Finding the Fourth Proportional to 729.06, 1,087.43 and 612.15

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Solution

The fourth proportional to 729.06, 1,087.43 and 612.15 is: 913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.06 : 1,087.43 = 612.15 : x
  2. Step 2: Convert to fraction form
    729.06/1,087.43 = 612.15/x
  3. Step 3: Cross multiply
    729.06x = 1,087.43 × 612.15
  4. Step 4: Simplify right side
    729.06x = 665,670.27
  5. Step 5: Solve for x
    x = 665,670.27/729.06
  6. Step 6: Final answer
    x = 913.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.