Home / 1,057.47-1,586.83-589.33

Finding the Fourth Proportional to 1,057.47, 1,586.83 and 589.33

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Solution

The fourth proportional to 1,057.47, 1,586.83 and 589.33 is: 884.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.47 : 1,586.83 = 589.33 : x
  2. Step 2: Convert to fraction form
    1,057.47/1,586.83 = 589.33/x
  3. Step 3: Cross multiply
    1,057.47x = 1,586.83 × 589.33
  4. Step 4: Simplify right side
    1,057.47x = 935,166.52
  5. Step 5: Solve for x
    x = 935,166.52/1,057.47
  6. Step 6: Final answer
    x = 884.35

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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.