Home / 1,055.21-1,456.19-589.46

Finding the Fourth Proportional to 1,055.21, 1,456.19 and 589.46

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Solution

The fourth proportional to 1,055.21, 1,456.19 and 589.46 is: 813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.21 : 1,456.19 = 589.46 : x
  2. Step 2: Convert to fraction form
    1,055.21/1,456.19 = 589.46/x
  3. Step 3: Cross multiply
    1,055.21x = 1,456.19 × 589.46
  4. Step 4: Simplify right side
    1,055.21x = 858,355.53
  5. Step 5: Solve for x
    x = 858,355.53/1,055.21
  6. Step 6: Final answer
    x = 813.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.