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Finding the Fourth Proportional to 484.84, 729.85 and 417.85

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Solution

The fourth proportional to 484.84, 729.85 and 417.85 is: 629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.84 : 729.85 = 417.85 : x
  2. Step 2: Convert to fraction form
    484.84/729.85 = 417.85/x
  3. Step 3: Cross multiply
    484.84x = 729.85 × 417.85
  4. Step 4: Simplify right side
    484.84x = 304,967.82
  5. Step 5: Solve for x
    x = 304,967.82/484.84
  6. Step 6: Final answer
    x = 629.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.