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Finding the Fourth Proportional to 831.33, 1,146.47 and 665.55

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Solution

The fourth proportional to 831.33, 1,146.47 and 665.55 is: 917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.33 : 1,146.47 = 665.55 : x
  2. Step 2: Convert to fraction form
    831.33/1,146.47 = 665.55/x
  3. Step 3: Cross multiply
    831.33x = 1,146.47 × 665.55
  4. Step 4: Simplify right side
    831.33x = 763,029.04
  5. Step 5: Solve for x
    x = 763,029.04/831.33
  6. Step 6: Final answer
    x = 917.85

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Double scale
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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.