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Finding the Fourth Proportional to 1,313.33, 1,812.49 and 723.89

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Solution

The fourth proportional to 1,313.33, 1,812.49 and 723.89 is: 999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.33 : 1,812.49 = 723.89 : x
  2. Step 2: Convert to fraction form
    1,313.33/1,812.49 = 723.89/x
  3. Step 3: Cross multiply
    1,313.33x = 1,812.49 × 723.89
  4. Step 4: Simplify right side
    1,313.33x = 1,312,046.11
  5. Step 5: Solve for x
    x = 1,312,046.11/1,313.33
  6. Step 6: Final answer
    x = 999.03

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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.