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Finding the Fourth Proportional to 714.15, 1,071.70 and 421.54

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Solution

The fourth proportional to 714.15, 1,071.70 and 421.54 is: 632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.15 : 1,071.70 = 421.54 : x
  2. Step 2: Convert to fraction form
    714.15/1,071.70 = 421.54/x
  3. Step 3: Cross multiply
    714.15x = 1,071.70 × 421.54
  4. Step 4: Simplify right side
    714.15x = 451,760.68
  5. Step 5: Solve for x
    x = 451,760.68/714.15
  6. Step 6: Final answer
    x = 632.59

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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.