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Finding the Fourth Proportional to 404.97, 607.46 and 347.57

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Solution

The fourth proportional to 404.97, 607.46 and 347.57 is: 521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.97 : 607.46 = 347.57 : x
  2. Step 2: Convert to fraction form
    404.97/607.46 = 347.57/x
  3. Step 3: Cross multiply
    404.97x = 607.46 × 347.57
  4. Step 4: Simplify right side
    404.97x = 211,133.11
  5. Step 5: Solve for x
    x = 211,133.11/404.97
  6. Step 6: Final answer
    x = 521.35

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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.