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Finding the Fourth Proportional to 729.95, 1,095 and 422.15

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Solution

The fourth proportional to 729.95, 1,095 and 422.15 is: 633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.95 : 1,095 = 422.15 : x
  2. Step 2: Convert to fraction form
    729.95/1,095 = 422.15/x
  3. Step 3: Cross multiply
    729.95x = 1,095 × 422.15
  4. Step 4: Simplify right side
    729.95x = 462,254.25
  5. Step 5: Solve for x
    x = 462,254.25/729.95
  6. Step 6: Final answer
    x = 633.27

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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.