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Finding the Fourth Proportional to 729.65, 1,095.06 and 364.34

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Solution

The fourth proportional to 729.65, 1,095.06 and 364.34 is: 546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.65 : 1,095.06 = 364.34 : x
  2. Step 2: Convert to fraction form
    729.65/1,095.06 = 364.34/x
  3. Step 3: Cross multiply
    729.65x = 1,095.06 × 364.34
  4. Step 4: Simplify right side
    729.65x = 398,974.16
  5. Step 5: Solve for x
    x = 398,974.16/729.65
  6. Step 6: Final answer
    x = 546.80

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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.