Home / 1,055.25-1,582.44-314.70

Finding the Fourth Proportional to 1,055.25, 1,582.44 and 314.70

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Solution

The fourth proportional to 1,055.25, 1,582.44 and 314.70 is: 471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.25 : 1,582.44 = 314.70 : x
  2. Step 2: Convert to fraction form
    1,055.25/1,582.44 = 314.70/x
  3. Step 3: Cross multiply
    1,055.25x = 1,582.44 × 314.70
  4. Step 4: Simplify right side
    1,055.25x = 497,993.87
  5. Step 5: Solve for x
    x = 497,993.87/1,055.25
  6. Step 6: Final answer
    x = 471.92

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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.