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Finding the Fourth Proportional to 397.61, 598.74 and 346.85

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Solution

The fourth proportional to 397.61, 598.74 and 346.85 is: 522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.61 : 598.74 = 346.85 : x
  2. Step 2: Convert to fraction form
    397.61/598.74 = 346.85/x
  3. Step 3: Cross multiply
    397.61x = 598.74 × 346.85
  4. Step 4: Simplify right side
    397.61x = 207,671.23
  5. Step 5: Solve for x
    x = 207,671.23/397.61
  6. Step 6: Final answer
    x = 522.31

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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.