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Finding the Fourth Proportional to 547.05, 820.73 and 417.35

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Solution

The fourth proportional to 547.05, 820.73 and 417.35 is: 626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.05 : 820.73 = 417.35 : x
  2. Step 2: Convert to fraction form
    547.05/820.73 = 417.35/x
  3. Step 3: Cross multiply
    547.05x = 820.73 × 417.35
  4. Step 4: Simplify right side
    547.05x = 342,534.76
  5. Step 5: Solve for x
    x = 342,534.76/547.05
  6. Step 6: Final answer
    x = 626.14

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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.