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Finding the Fourth Proportional to 1,036.04, 1,428.26 and 741.20

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Solution

The fourth proportional to 1,036.04, 1,428.26 and 741.20 is: 1,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.04 : 1,428.26 = 741.20 : x
  2. Step 2: Convert to fraction form
    1,036.04/1,428.26 = 741.20/x
  3. Step 3: Cross multiply
    1,036.04x = 1,428.26 × 741.20
  4. Step 4: Simplify right side
    1,036.04x = 1,058,626.31
  5. Step 5: Solve for x
    x = 1,058,626.31/1,036.04
  6. Step 6: Final answer
    x = 1,021.80

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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.