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Finding the Fourth Proportional to 1,313.13, 1,970.01 and 401.13

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Solution

The fourth proportional to 1,313.13, 1,970.01 and 401.13 is: 601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.13 : 1,970.01 = 401.13 : x
  2. Step 2: Convert to fraction form
    1,313.13/1,970.01 = 401.13/x
  3. Step 3: Cross multiply
    1,313.13x = 1,970.01 × 401.13
  4. Step 4: Simplify right side
    1,313.13x = 790,220.26
  5. Step 5: Solve for x
    x = 790,220.26/1,313.13
  6. Step 6: Final answer
    x = 601.79

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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.