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Finding the Fourth Proportional to 1,036.01, 1,554.29 and 386.75

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Solution

The fourth proportional to 1,036.01, 1,554.29 and 386.75 is: 580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.01 : 1,554.29 = 386.75 : x
  2. Step 2: Convert to fraction form
    1,036.01/1,554.29 = 386.75/x
  3. Step 3: Cross multiply
    1,036.01x = 1,554.29 × 386.75
  4. Step 4: Simplify right side
    1,036.01x = 601,119.72
  5. Step 5: Solve for x
    x = 601,119.72/1,036.01
  6. Step 6: Final answer
    x = 580.23

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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.