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Finding the Fourth Proportional to 831.07, 1,146.72 and 621.42

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Solution

The fourth proportional to 831.07, 1,146.72 and 621.42 is: 857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.07 : 1,146.72 = 621.42 : x
  2. Step 2: Convert to fraction form
    831.07/1,146.72 = 621.42/x
  3. Step 3: Cross multiply
    831.07x = 1,146.72 × 621.42
  4. Step 4: Simplify right side
    831.07x = 712,594.74
  5. Step 5: Solve for x
    x = 712,594.74/831.07
  6. Step 6: Final answer
    x = 857.44

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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.