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Finding the Fourth Proportional to 1,405.53, 2,106.83 and 582.68

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Solution

The fourth proportional to 1,405.53, 2,106.83 and 582.68 is: 873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.53 : 2,106.83 = 582.68 : x
  2. Step 2: Convert to fraction form
    1,405.53/2,106.83 = 582.68/x
  3. Step 3: Cross multiply
    1,405.53x = 2,106.83 × 582.68
  4. Step 4: Simplify right side
    1,405.53x = 1,227,594.26
  5. Step 5: Solve for x
    x = 1,227,594.26/1,405.53
  6. Step 6: Final answer
    x = 873.40

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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.