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Finding the Fourth Proportional to 460.66, 690.88 and 287.24

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Solution

The fourth proportional to 460.66, 690.88 and 287.24 is: 430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.66 : 690.88 = 287.24 : x
  2. Step 2: Convert to fraction form
    460.66/690.88 = 287.24/x
  3. Step 3: Cross multiply
    460.66x = 690.88 × 287.24
  4. Step 4: Simplify right side
    460.66x = 198,450.08
  5. Step 5: Solve for x
    x = 198,450.08/460.66
  6. Step 6: Final answer
    x = 430.79

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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.