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Finding the Fourth Proportional to 714.72, 1,072.02 and 427.98

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Solution

The fourth proportional to 714.72, 1,072.02 and 427.98 is: 641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.72 : 1,072.02 = 427.98 : x
  2. Step 2: Convert to fraction form
    714.72/1,072.02 = 427.98/x
  3. Step 3: Cross multiply
    714.72x = 1,072.02 × 427.98
  4. Step 4: Simplify right side
    714.72x = 458,803.12
  5. Step 5: Solve for x
    x = 458,803.12/714.72
  6. Step 6: Final answer
    x = 641.93

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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.