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Finding the Fourth Proportional to 554.77, 831.21 and 392.14

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Solution

The fourth proportional to 554.77, 831.21 and 392.14 is: 587.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.77 : 831.21 = 392.14 : x
  2. Step 2: Convert to fraction form
    554.77/831.21 = 392.14/x
  3. Step 3: Cross multiply
    554.77x = 831.21 × 392.14
  4. Step 4: Simplify right side
    554.77x = 325,950.69
  5. Step 5: Solve for x
    x = 325,950.69/554.77
  6. Step 6: Final answer
    x = 587.54

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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.