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Finding the Fourth Proportional to 1,025.16, 1,537.74 and 512.52

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Solution

The fourth proportional to 1,025.16, 1,537.74 and 512.52 is: 768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.16 : 1,537.74 = 512.52 : x
  2. Step 2: Convert to fraction form
    1,025.16/1,537.74 = 512.52/x
  3. Step 3: Cross multiply
    1,025.16x = 1,537.74 × 512.52
  4. Step 4: Simplify right side
    1,025.16x = 788,122.50
  5. Step 5: Solve for x
    x = 788,122.50/1,025.16
  6. Step 6: Final answer
    x = 768.78

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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.