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Finding the Fourth Proportional to 553.10, 830.06 and 407.25

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Solution

The fourth proportional to 553.10, 830.06 and 407.25 is: 611.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.10 : 830.06 = 407.25 : x
  2. Step 2: Convert to fraction form
    553.10/830.06 = 407.25/x
  3. Step 3: Cross multiply
    553.10x = 830.06 × 407.25
  4. Step 4: Simplify right side
    553.10x = 338,039.90
  5. Step 5: Solve for x
    x = 338,039.90/553.10
  6. Step 6: Final answer
    x = 611.17

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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.