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Finding the Fourth Proportional to 553.70, 830.64 and 417.80

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Solution

The fourth proportional to 553.70, 830.64 and 417.80 is: 626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.70 : 830.64 = 417.80 : x
  2. Step 2: Convert to fraction form
    553.70/830.64 = 417.80/x
  3. Step 3: Cross multiply
    553.70x = 830.64 × 417.80
  4. Step 4: Simplify right side
    553.70x = 347,041.39
  5. Step 5: Solve for x
    x = 347,041.39/553.70
  6. Step 6: Final answer
    x = 626.77

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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.