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Finding the Fourth Proportional to 553.77, 831.74 and 457.61

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Solution

The fourth proportional to 553.77, 831.74 and 457.61 is: 687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.77 : 831.74 = 457.61 : x
  2. Step 2: Convert to fraction form
    553.77/831.74 = 457.61/x
  3. Step 3: Cross multiply
    553.77x = 831.74 × 457.61
  4. Step 4: Simplify right side
    553.77x = 380,606.09
  5. Step 5: Solve for x
    x = 380,606.09/553.77
  6. Step 6: Final answer
    x = 687.30

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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.