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Finding the Fourth Proportional to 704.78, 973.12 and 456.26

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Solution

The fourth proportional to 704.78, 973.12 and 456.26 is: 629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.78 : 973.12 = 456.26 : x
  2. Step 2: Convert to fraction form
    704.78/973.12 = 456.26/x
  3. Step 3: Cross multiply
    704.78x = 973.12 × 456.26
  4. Step 4: Simplify right side
    704.78x = 443,995.73
  5. Step 5: Solve for x
    x = 443,995.73/704.78
  6. Step 6: Final answer
    x = 629.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.