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Finding the Fourth Proportional to 554.64, 831.87 and 322.80

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Solution

The fourth proportional to 554.64, 831.87 and 322.80 is: 484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.64 : 831.87 = 322.80 : x
  2. Step 2: Convert to fraction form
    554.64/831.87 = 322.80/x
  3. Step 3: Cross multiply
    554.64x = 831.87 × 322.80
  4. Step 4: Simplify right side
    554.64x = 268,527.64
  5. Step 5: Solve for x
    x = 268,527.64/554.64
  6. Step 6: Final answer
    x = 484.15

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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.