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Finding the Fourth Proportional to 464.30, 696.45 and 415.70

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Solution

The fourth proportional to 464.30, 696.45 and 415.70 is: 623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.30 : 696.45 = 415.70 : x
  2. Step 2: Convert to fraction form
    464.30/696.45 = 415.70/x
  3. Step 3: Cross multiply
    464.30x = 696.45 × 415.70
  4. Step 4: Simplify right side
    464.30x = 289,514.27
  5. Step 5: Solve for x
    x = 289,514.27/464.30
  6. Step 6: Final answer
    x = 623.55

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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.