Home / 1,056.16-1,584.46-325.72

Finding the Fourth Proportional to 1,056.16, 1,584.46 and 325.72

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Solution

The fourth proportional to 1,056.16, 1,584.46 and 325.72 is: 488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.16 : 1,584.46 = 325.72 : x
  2. Step 2: Convert to fraction form
    1,056.16/1,584.46 = 325.72/x
  3. Step 3: Cross multiply
    1,056.16x = 1,584.46 × 325.72
  4. Step 4: Simplify right side
    1,056.16x = 516,090.31
  5. Step 5: Solve for x
    x = 516,090.31/1,056.16
  6. Step 6: Final answer
    x = 488.65

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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.