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Finding the Fourth Proportional to 460.70, 690.60 and 412.10

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Solution

The fourth proportional to 460.70, 690.60 and 412.10 is: 617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.70 : 690.60 = 412.10 : x
  2. Step 2: Convert to fraction form
    460.70/690.60 = 412.10/x
  3. Step 3: Cross multiply
    460.70x = 690.60 × 412.10
  4. Step 4: Simplify right side
    460.70x = 284,596.26
  5. Step 5: Solve for x
    x = 284,596.26/460.70
  6. Step 6: Final answer
    x = 617.75

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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.