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Finding the Fourth Proportional to 704.78, 972.26 and 456.16

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Solution

The fourth proportional to 704.78, 972.26 and 456.16 is: 629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.78 : 972.26 = 456.16 : x
  2. Step 2: Convert to fraction form
    704.78/972.26 = 456.16/x
  3. Step 3: Cross multiply
    704.78x = 972.26 × 456.16
  4. Step 4: Simplify right side
    704.78x = 443,506.12
  5. Step 5: Solve for x
    x = 443,506.12/704.78
  6. Step 6: Final answer
    x = 629.28

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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.