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Finding the Fourth Proportional to 825.15, 1,238.54 and 628.32

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Solution

The fourth proportional to 825.15, 1,238.54 and 628.32 is: 943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.15 : 1,238.54 = 628.32 : x
  2. Step 2: Convert to fraction form
    825.15/1,238.54 = 628.32/x
  3. Step 3: Cross multiply
    825.15x = 1,238.54 × 628.32
  4. Step 4: Simplify right side
    825.15x = 778,196.31
  5. Step 5: Solve for x
    x = 778,196.31/825.15
  6. Step 6: Final answer
    x = 943.10

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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.