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Finding the Fourth Proportional to 976.78, 1,457.33 and 930.34

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Solution

The fourth proportional to 976.78, 1,457.33 and 930.34 is: 1,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.78 : 1,457.33 = 930.34 : x
  2. Step 2: Convert to fraction form
    976.78/1,457.33 = 930.34/x
  3. Step 3: Cross multiply
    976.78x = 1,457.33 × 930.34
  4. Step 4: Simplify right side
    976.78x = 1,355,812.39
  5. Step 5: Solve for x
    x = 1,355,812.39/976.78
  6. Step 6: Final answer
    x = 1,388.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.