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Finding the Fourth Proportional to 460.58, 690.77 and 210.44

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Solution

The fourth proportional to 460.58, 690.77 and 210.44 is: 315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.58 : 690.77 = 210.44 : x
  2. Step 2: Convert to fraction form
    460.58/690.77 = 210.44/x
  3. Step 3: Cross multiply
    460.58x = 690.77 × 210.44
  4. Step 4: Simplify right side
    460.58x = 145,367.89
  5. Step 5: Solve for x
    x = 145,367.89/460.58
  6. Step 6: Final answer
    x = 315.62

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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.