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Finding the Fourth Proportional to 729.95, 1,095.08 and 421.25

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Solution

The fourth proportional to 729.95, 1,095.08 and 421.25 is: 631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.95 : 1,095.08 = 421.25 : x
  2. Step 2: Convert to fraction form
    729.95/1,095.08 = 421.25/x
  3. Step 3: Cross multiply
    729.95x = 1,095.08 × 421.25
  4. Step 4: Simplify right side
    729.95x = 461,294.87
  5. Step 5: Solve for x
    x = 461,294.87/729.95
  6. Step 6: Final answer
    x = 631.96

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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.