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Finding the Fourth Proportional to 976.89, 1,452.75 and 946.12

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Solution

The fourth proportional to 976.89, 1,452.75 and 946.12 is: 1,406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.89 : 1,452.75 = 946.12 : x
  2. Step 2: Convert to fraction form
    976.89/1,452.75 = 946.12/x
  3. Step 3: Cross multiply
    976.89x = 1,452.75 × 946.12
  4. Step 4: Simplify right side
    976.89x = 1,374,475.83
  5. Step 5: Solve for x
    x = 1,374,475.83/976.89
  6. Step 6: Final answer
    x = 1,406.99

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1.5x scale

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.