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Finding the Fourth Proportional to 831.40, 1,247.46 and 446.20

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Solution

The fourth proportional to 831.40, 1,247.46 and 446.20 is: 669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.40 : 1,247.46 = 446.20 : x
  2. Step 2: Convert to fraction form
    831.40/1,247.46 = 446.20/x
  3. Step 3: Cross multiply
    831.40x = 1,247.46 × 446.20
  4. Step 4: Simplify right side
    831.40x = 556,608.18
  5. Step 5: Solve for x
    x = 556,608.18/831.40
  6. Step 6: Final answer
    x = 669.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 832.40, 1,248.96 and 447.20
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.