Home / 1,056.72-1,584.80-287.04

Finding the Fourth Proportional to 1,056.72, 1,584.80 and 287.04

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Solution

The fourth proportional to 1,056.72, 1,584.80 and 287.04 is: 430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.72 : 1,584.80 = 287.04 : x
  2. Step 2: Convert to fraction form
    1,056.72/1,584.80 = 287.04/x
  3. Step 3: Cross multiply
    1,056.72x = 1,584.80 × 287.04
  4. Step 4: Simplify right side
    1,056.72x = 454,900.99
  5. Step 5: Solve for x
    x = 454,900.99/1,056.72
  6. Step 6: Final answer
    x = 430.48

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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.