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Finding the Fourth Proportional to 1,025.34, 1,414.98 and 828.51

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Solution

The fourth proportional to 1,025.34, 1,414.98 and 828.51 is: 1,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.34 : 1,414.98 = 828.51 : x
  2. Step 2: Convert to fraction form
    1,025.34/1,414.98 = 828.51/x
  3. Step 3: Cross multiply
    1,025.34x = 1,414.98 × 828.51
  4. Step 4: Simplify right side
    1,025.34x = 1,172,325.08
  5. Step 5: Solve for x
    x = 1,172,325.08/1,025.34
  6. Step 6: Final answer
    x = 1,143.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.