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Finding the Fourth Proportional to 553.16, 826.30 and 409.16

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Solution

The fourth proportional to 553.16, 826.30 and 409.16 is: 611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.16 : 826.30 = 409.16 : x
  2. Step 2: Convert to fraction form
    553.16/826.30 = 409.16/x
  3. Step 3: Cross multiply
    553.16x = 826.30 × 409.16
  4. Step 4: Simplify right side
    553.16x = 338,088.91
  5. Step 5: Solve for x
    x = 338,088.91/553.16
  6. Step 6: Final answer
    x = 611.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.