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Finding the Fourth Proportional to 464.76, 696.78 and 172.10

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Solution

The fourth proportional to 464.76, 696.78 and 172.10 is: 258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.76 : 696.78 = 172.10 : x
  2. Step 2: Convert to fraction form
    464.76/696.78 = 172.10/x
  3. Step 3: Cross multiply
    464.76x = 696.78 × 172.10
  4. Step 4: Simplify right side
    464.76x = 119,915.84
  5. Step 5: Solve for x
    x = 119,915.84/464.76
  6. Step 6: Final answer
    x = 258.02

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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.