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Finding the Fourth Proportional to 1,056.64, 1,584.96 and 287.14

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Solution

The fourth proportional to 1,056.64, 1,584.96 and 287.14 is: 430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.64 : 1,584.96 = 287.14 : x
  2. Step 2: Convert to fraction form
    1,056.64/1,584.96 = 287.14/x
  3. Step 3: Cross multiply
    1,056.64x = 1,584.96 × 287.14
  4. Step 4: Simplify right side
    1,056.64x = 455,105.41
  5. Step 5: Solve for x
    x = 455,105.41/1,056.64
  6. Step 6: Final answer
    x = 430.71

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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.