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Finding the Fourth Proportional to 1,065.25, 1,596.48 and 480.22

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Solution

The fourth proportional to 1,065.25, 1,596.48 and 480.22 is: 719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.25 : 1,596.48 = 480.22 : x
  2. Step 2: Convert to fraction form
    1,065.25/1,596.48 = 480.22/x
  3. Step 3: Cross multiply
    1,065.25x = 1,596.48 × 480.22
  4. Step 4: Simplify right side
    1,065.25x = 766,661.63
  5. Step 5: Solve for x
    x = 766,661.63/1,065.25
  6. Step 6: Final answer
    x = 719.70

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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.