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Finding the Fourth Proportional to 464.40, 693.01 and 412.63

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Solution

The fourth proportional to 464.40, 693.01 and 412.63 is: 615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.40 : 693.01 = 412.63 : x
  2. Step 2: Convert to fraction form
    464.40/693.01 = 412.63/x
  3. Step 3: Cross multiply
    464.40x = 693.01 × 412.63
  4. Step 4: Simplify right side
    464.40x = 285,951.72
  5. Step 5: Solve for x
    x = 285,951.72/464.40
  6. Step 6: Final answer
    x = 615.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.