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Finding the Fourth Proportional to 460.50, 689.72 and 277.67

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Solution

The fourth proportional to 460.50, 689.72 and 277.67 is: 415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.50 : 689.72 = 277.67 : x
  2. Step 2: Convert to fraction form
    460.50/689.72 = 277.67/x
  3. Step 3: Cross multiply
    460.50x = 689.72 × 277.67
  4. Step 4: Simplify right side
    460.50x = 191,509.72
  5. Step 5: Solve for x
    x = 191,509.72/460.50
  6. Step 6: Final answer
    x = 415.87

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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.