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Finding the Fourth Proportional to 464.56, 696.90 and 172.07

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Solution

The fourth proportional to 464.56, 696.90 and 172.07 is: 258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.56 : 696.90 = 172.07 : x
  2. Step 2: Convert to fraction form
    464.56/696.90 = 172.07/x
  3. Step 3: Cross multiply
    464.56x = 696.90 × 172.07
  4. Step 4: Simplify right side
    464.56x = 119,915.58
  5. Step 5: Solve for x
    x = 119,915.58/464.56
  6. Step 6: Final answer
    x = 258.13

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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.