Home / 1,056.51-1,584.90-326.16

Finding the Fourth Proportional to 1,056.51, 1,584.90 and 326.16

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Solution

The fourth proportional to 1,056.51, 1,584.90 and 326.16 is: 489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.51 : 1,584.90 = 326.16 : x
  2. Step 2: Convert to fraction form
    1,056.51/1,584.90 = 326.16/x
  3. Step 3: Cross multiply
    1,056.51x = 1,584.90 × 326.16
  4. Step 4: Simplify right side
    1,056.51x = 516,930.98
  5. Step 5: Solve for x
    x = 516,930.98/1,056.51
  6. Step 6: Final answer
    x = 489.28

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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.