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Finding the Fourth Proportional to 741.89, 1,107.40 and 654.31

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Solution

The fourth proportional to 741.89, 1,107.40 and 654.31 is: 976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.89 : 1,107.40 = 654.31 : x
  2. Step 2: Convert to fraction form
    741.89/1,107.40 = 654.31/x
  3. Step 3: Cross multiply
    741.89x = 1,107.40 × 654.31
  4. Step 4: Simplify right side
    741.89x = 724,579.62
  5. Step 5: Solve for x
    x = 724,579.62/741.89
  6. Step 6: Final answer
    x = 976.67

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Double scale
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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.