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Finding the Fourth Proportional to 825.15, 1,138.70 and 452.12

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Solution

The fourth proportional to 825.15, 1,138.70 and 452.12 is: 623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.15 : 1,138.70 = 452.12 : x
  2. Step 2: Convert to fraction form
    825.15/1,138.70 = 452.12/x
  3. Step 3: Cross multiply
    825.15x = 1,138.70 × 452.12
  4. Step 4: Simplify right side
    825.15x = 514,831.05
  5. Step 5: Solve for x
    x = 514,831.05/825.15
  6. Step 6: Final answer
    x = 623.93

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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.