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Finding the Fourth Proportional to 434.45, 647.40 and 406.50

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Solution

The fourth proportional to 434.45, 647.40 and 406.50 is: 605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.45 : 647.40 = 406.50 : x
  2. Step 2: Convert to fraction form
    434.45/647.40 = 406.50/x
  3. Step 3: Cross multiply
    434.45x = 647.40 × 406.50
  4. Step 4: Simplify right side
    434.45x = 263,168.10
  5. Step 5: Solve for x
    x = 263,168.10/434.45
  6. Step 6: Final answer
    x = 605.76

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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.