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Finding the Fourth Proportional to 976.69, 1,460.66 and 867.68

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Solution

The fourth proportional to 976.69, 1,460.66 and 867.68 is: 1,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.69 : 1,460.66 = 867.68 : x
  2. Step 2: Convert to fraction form
    976.69/1,460.66 = 867.68/x
  3. Step 3: Cross multiply
    976.69x = 1,460.66 × 867.68
  4. Step 4: Simplify right side
    976.69x = 1,267,384.83
  5. Step 5: Solve for x
    x = 1,267,384.83/976.69
  6. Step 6: Final answer
    x = 1,297.63

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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.