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Finding the Fourth Proportional to 553.69, 763.18 and 406.27

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Solution

The fourth proportional to 553.69, 763.18 and 406.27 is: 559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.69 : 763.18 = 406.27 : x
  2. Step 2: Convert to fraction form
    553.69/763.18 = 406.27/x
  3. Step 3: Cross multiply
    553.69x = 763.18 × 406.27
  4. Step 4: Simplify right side
    553.69x = 310,057.14
  5. Step 5: Solve for x
    x = 310,057.14/553.69
  6. Step 6: Final answer
    x = 559.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.