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Finding the Fourth Proportional to 831.70, 1,139.98 and 830.32

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Solution

The fourth proportional to 831.70, 1,139.98 and 830.32 is: 1,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.70 : 1,139.98 = 830.32 : x
  2. Step 2: Convert to fraction form
    831.70/1,139.98 = 830.32/x
  3. Step 3: Cross multiply
    831.70x = 1,139.98 × 830.32
  4. Step 4: Simplify right side
    831.70x = 946,548.19
  5. Step 5: Solve for x
    x = 946,548.19/831.70
  6. Step 6: Final answer
    x = 1,138.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.