Home / 1,057.56-1,586.35-288.06

Finding the Fourth Proportional to 1,057.56, 1,586.35 and 288.06

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Solution

The fourth proportional to 1,057.56, 1,586.35 and 288.06 is: 432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.56 : 1,586.35 = 288.06 : x
  2. Step 2: Convert to fraction form
    1,057.56/1,586.35 = 288.06/x
  3. Step 3: Cross multiply
    1,057.56x = 1,586.35 × 288.06
  4. Step 4: Simplify right side
    1,057.56x = 456,963.98
  5. Step 5: Solve for x
    x = 456,963.98/1,057.56
  6. Step 6: Final answer
    x = 432.09

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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.