Home / 1,056.12-1,584.90-569.28

Finding the Fourth Proportional to 1,056.12, 1,584.90 and 569.28

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Solution

The fourth proportional to 1,056.12, 1,584.90 and 569.28 is: 854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.12 : 1,584.90 = 569.28 : x
  2. Step 2: Convert to fraction form
    1,056.12/1,584.90 = 569.28/x
  3. Step 3: Cross multiply
    1,056.12x = 1,584.90 × 569.28
  4. Step 4: Simplify right side
    1,056.12x = 902,251.87
  5. Step 5: Solve for x
    x = 902,251.87/1,056.12
  6. Step 6: Final answer
    x = 854.31

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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.