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Finding the Fourth Proportional to 976.36, 1,346.88 and 661.20

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Solution

The fourth proportional to 976.36, 1,346.88 and 661.20 is: 912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.36 : 1,346.88 = 661.20 : x
  2. Step 2: Convert to fraction form
    976.36/1,346.88 = 661.20/x
  3. Step 3: Cross multiply
    976.36x = 1,346.88 × 661.20
  4. Step 4: Simplify right side
    976.36x = 890,557.06
  5. Step 5: Solve for x
    x = 890,557.06/976.36
  6. Step 6: Final answer
    x = 912.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.