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Finding the Fourth Proportional to 714.67, 1,071.37 and 281.50

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Solution

The fourth proportional to 714.67, 1,071.37 and 281.50 is: 422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.67 : 1,071.37 = 281.50 : x
  2. Step 2: Convert to fraction form
    714.67/1,071.37 = 281.50/x
  3. Step 3: Cross multiply
    714.67x = 1,071.37 × 281.50
  4. Step 4: Simplify right side
    714.67x = 301,590.66
  5. Step 5: Solve for x
    x = 301,590.66/714.67
  6. Step 6: Final answer
    x = 422.00

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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.