Home / 1,056.74-1,584.34-325.89

Finding the Fourth Proportional to 1,056.74, 1,584.34 and 325.89

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Solution

The fourth proportional to 1,056.74, 1,584.34 and 325.89 is: 488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.74 : 1,584.34 = 325.89 : x
  2. Step 2: Convert to fraction form
    1,056.74/1,584.34 = 325.89/x
  3. Step 3: Cross multiply
    1,056.74x = 1,584.34 × 325.89
  4. Step 4: Simplify right side
    1,056.74x = 516,319.75
  5. Step 5: Solve for x
    x = 516,319.75/1,056.74
  6. Step 6: Final answer
    x = 488.60

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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.