Home / 1,025.58-1,538.38-295.16

Finding the Fourth Proportional to 1,025.58, 1,538.38 and 295.16

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Solution

The fourth proportional to 1,025.58, 1,538.38 and 295.16 is: 442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.58 : 1,538.38 = 295.16 : x
  2. Step 2: Convert to fraction form
    1,025.58/1,538.38 = 295.16/x
  3. Step 3: Cross multiply
    1,025.58x = 1,538.38 × 295.16
  4. Step 4: Simplify right side
    1,025.58x = 454,068.24
  5. Step 5: Solve for x
    x = 454,068.24/1,025.58
  6. Step 6: Final answer
    x = 442.74

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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.