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Finding the Fourth Proportional to 742.56, 1,113.29 and 429.77

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Solution

The fourth proportional to 742.56, 1,113.29 and 429.77 is: 644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.56 : 1,113.29 = 429.77 : x
  2. Step 2: Convert to fraction form
    742.56/1,113.29 = 429.77/x
  3. Step 3: Cross multiply
    742.56x = 1,113.29 × 429.77
  4. Step 4: Simplify right side
    742.56x = 478,450.93
  5. Step 5: Solve for x
    x = 478,450.93/742.56
  6. Step 6: Final answer
    x = 644.33

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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.