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Finding the Fourth Proportional to 1,014.35, 1,520.94 and 429.77

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Solution

The fourth proportional to 1,014.35, 1,520.94 and 429.77 is: 644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.35 : 1,520.94 = 429.77 : x
  2. Step 2: Convert to fraction form
    1,014.35/1,520.94 = 429.77/x
  3. Step 3: Cross multiply
    1,014.35x = 1,520.94 × 429.77
  4. Step 4: Simplify right side
    1,014.35x = 653,654.38
  5. Step 5: Solve for x
    x = 653,654.38/1,014.35
  6. Step 6: Final answer
    x = 644.41

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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.