Home / 1,065.04-1,596.96-415.36

Finding the Fourth Proportional to 1,065.04, 1,596.96 and 415.36

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Solution

The fourth proportional to 1,065.04, 1,596.96 and 415.36 is: 622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.04 : 1,596.96 = 415.36 : x
  2. Step 2: Convert to fraction form
    1,065.04/1,596.96 = 415.36/x
  3. Step 3: Cross multiply
    1,065.04x = 1,596.96 × 415.36
  4. Step 4: Simplify right side
    1,065.04x = 663,313.31
  5. Step 5: Solve for x
    x = 663,313.31/1,065.04
  6. Step 6: Final answer
    x = 622.81

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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.