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Finding the Fourth Proportional to 553.74, 831.57 and 457.74

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Solution

The fourth proportional to 553.74, 831.57 and 457.74 is: 687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.74 : 831.57 = 457.74 : x
  2. Step 2: Convert to fraction form
    553.74/831.57 = 457.74/x
  3. Step 3: Cross multiply
    553.74x = 831.57 × 457.74
  4. Step 4: Simplify right side
    553.74x = 380,642.85
  5. Step 5: Solve for x
    x = 380,642.85/553.74
  6. Step 6: Final answer
    x = 687.40

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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.