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Finding the Fourth Proportional to 553.19, 831.00 and 534.74

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Solution

The fourth proportional to 553.19, 831.00 and 534.74 is: 803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.19 : 831.00 = 534.74 : x
  2. Step 2: Convert to fraction form
    553.19/831.00 = 534.74/x
  3. Step 3: Cross multiply
    553.19x = 831.00 × 534.74
  4. Step 4: Simplify right side
    553.19x = 444,366.27
  5. Step 5: Solve for x
    x = 444,366.27/553.19
  6. Step 6: Final answer
    x = 803.28

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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.