Home / 1,028.32-1,541.44-514.24

Finding the Fourth Proportional to 1,028.32, 1,541.44 and 514.24

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Solution

The fourth proportional to 1,028.32, 1,541.44 and 514.24 is: 770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.32 : 1,541.44 = 514.24 : x
  2. Step 2: Convert to fraction form
    1,028.32/1,541.44 = 514.24/x
  3. Step 3: Cross multiply
    1,028.32x = 1,541.44 × 514.24
  4. Step 4: Simplify right side
    1,028.32x = 792,670.11
  5. Step 5: Solve for x
    x = 792,670.11/1,028.32
  6. Step 6: Final answer
    x = 770.84

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Double scale
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1.5x scale

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.