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Finding the Fourth Proportional to 1,529.92, 2,294.86 and 434.28

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Solution

The fourth proportional to 1,529.92, 2,294.86 and 434.28 is: 651.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.92 : 2,294.86 = 434.28 : x
  2. Step 2: Convert to fraction form
    1,529.92/2,294.86 = 434.28/x
  3. Step 3: Cross multiply
    1,529.92x = 2,294.86 × 434.28
  4. Step 4: Simplify right side
    1,529.92x = 996,611.80
  5. Step 5: Solve for x
    x = 996,611.80/1,529.92
  6. Step 6: Final answer
    x = 651.41

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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.