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Finding the Fourth Proportional to 434.68, 651.42 and 342.96

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Solution

The fourth proportional to 434.68, 651.42 and 342.96 is: 513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.68 : 651.42 = 342.96 : x
  2. Step 2: Convert to fraction form
    434.68/651.42 = 342.96/x
  3. Step 3: Cross multiply
    434.68x = 651.42 × 342.96
  4. Step 4: Simplify right side
    434.68x = 223,411.00
  5. Step 5: Solve for x
    x = 223,411.00/434.68
  6. Step 6: Final answer
    x = 513.97

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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.