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Finding the Fourth Proportional to 1,405.35, 2,106.59 and 480.15

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Solution

The fourth proportional to 1,405.35, 2,106.59 and 480.15 is: 719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.35 : 2,106.59 = 480.15 : x
  2. Step 2: Convert to fraction form
    1,405.35/2,106.59 = 480.15/x
  3. Step 3: Cross multiply
    1,405.35x = 2,106.59 × 480.15
  4. Step 4: Simplify right side
    1,405.35x = 1,011,476.79
  5. Step 5: Solve for x
    x = 1,011,476.79/1,405.35
  6. Step 6: Final answer
    x = 719.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.