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Finding the Fourth Proportional to 434.12, 647.17 and 399.56

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Solution

The fourth proportional to 434.12, 647.17 and 399.56 is: 595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.12 : 647.17 = 399.56 : x
  2. Step 2: Convert to fraction form
    434.12/647.17 = 399.56/x
  3. Step 3: Cross multiply
    434.12x = 647.17 × 399.56
  4. Step 4: Simplify right side
    434.12x = 258,583.25
  5. Step 5: Solve for x
    x = 258,583.25/434.12
  6. Step 6: Final answer
    x = 595.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.