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Finding the Fourth Proportional to 976.70, 1,458.10 and 942.54

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Solution

The fourth proportional to 976.70, 1,458.10 and 942.54 is: 1,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.70 : 1,458.10 = 942.54 : x
  2. Step 2: Convert to fraction form
    976.70/1,458.10 = 942.54/x
  3. Step 3: Cross multiply
    976.70x = 1,458.10 × 942.54
  4. Step 4: Simplify right side
    976.70x = 1,374,317.57
  5. Step 5: Solve for x
    x = 1,374,317.57/976.70
  6. Step 6: Final answer
    x = 1,407.10

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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.