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Finding the Fourth Proportional to 741.75, 1,107.03 and 649.32

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Solution

The fourth proportional to 741.75, 1,107.03 and 649.32 is: 969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.75 : 1,107.03 = 649.32 : x
  2. Step 2: Convert to fraction form
    741.75/1,107.03 = 649.32/x
  3. Step 3: Cross multiply
    741.75x = 1,107.03 × 649.32
  4. Step 4: Simplify right side
    741.75x = 718,816.72
  5. Step 5: Solve for x
    x = 718,816.72/741.75
  6. Step 6: Final answer
    x = 969.08

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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.