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Finding the Fourth Proportional to 831.49, 1,247.20 and 254.35

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Solution

The fourth proportional to 831.49, 1,247.20 and 254.35 is: 381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.49 : 1,247.20 = 254.35 : x
  2. Step 2: Convert to fraction form
    831.49/1,247.20 = 254.35/x
  3. Step 3: Cross multiply
    831.49x = 1,247.20 × 254.35
  4. Step 4: Simplify right side
    831.49x = 317,225.32
  5. Step 5: Solve for x
    x = 317,225.32/831.49
  6. Step 6: Final answer
    x = 381.51

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Half scale
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Double scale
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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.