Home / 1,055.44-1,582.91-314.98

Finding the Fourth Proportional to 1,055.44, 1,582.91 and 314.98

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Solution

The fourth proportional to 1,055.44, 1,582.91 and 314.98 is: 472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.44 : 1,582.91 = 314.98 : x
  2. Step 2: Convert to fraction form
    1,055.44/1,582.91 = 314.98/x
  3. Step 3: Cross multiply
    1,055.44x = 1,582.91 × 314.98
  4. Step 4: Simplify right side
    1,055.44x = 498,591.32
  5. Step 5: Solve for x
    x = 498,591.32/1,055.44
  6. Step 6: Final answer
    x = 472.40

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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.