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Finding the Fourth Proportional to 729.74, 1,094.63 and 407.16

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Solution

The fourth proportional to 729.74, 1,094.63 and 407.16 is: 610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.74 : 1,094.63 = 407.16 : x
  2. Step 2: Convert to fraction form
    729.74/1,094.63 = 407.16/x
  3. Step 3: Cross multiply
    729.74x = 1,094.63 × 407.16
  4. Step 4: Simplify right side
    729.74x = 445,689.55
  5. Step 5: Solve for x
    x = 445,689.55/729.74
  6. Step 6: Final answer
    x = 610.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.