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Finding the Fourth Proportional to 1,313.06, 1,969.07 and 491.13

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Solution

The fourth proportional to 1,313.06, 1,969.07 and 491.13 is: 736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.06 : 1,969.07 = 491.13 : x
  2. Step 2: Convert to fraction form
    1,313.06/1,969.07 = 491.13/x
  3. Step 3: Cross multiply
    1,313.06x = 1,969.07 × 491.13
  4. Step 4: Simplify right side
    1,313.06x = 967,066.89
  5. Step 5: Solve for x
    x = 967,066.89/1,313.06
  6. Step 6: Final answer
    x = 736.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.