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Finding the Fourth Proportional to 554.75, 831.53 and 380.85

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Solution

The fourth proportional to 554.75, 831.53 and 380.85 is: 570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.75 : 831.53 = 380.85 : x
  2. Step 2: Convert to fraction form
    554.75/831.53 = 380.85/x
  3. Step 3: Cross multiply
    554.75x = 831.53 × 380.85
  4. Step 4: Simplify right side
    554.75x = 316,690.71
  5. Step 5: Solve for x
    x = 316,690.71/554.75
  6. Step 6: Final answer
    x = 570.87

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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.