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Finding the Fourth Proportional to 831.82, 1,146.82 and 569.38

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Solution

The fourth proportional to 831.82, 1,146.82 and 569.38 is: 785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.82 : 1,146.82 = 569.38 : x
  2. Step 2: Convert to fraction form
    831.82/1,146.82 = 569.38/x
  3. Step 3: Cross multiply
    831.82x = 1,146.82 × 569.38
  4. Step 4: Simplify right side
    831.82x = 652,976.37
  5. Step 5: Solve for x
    x = 652,976.37/831.82
  6. Step 6: Final answer
    x = 785.00

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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.