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Finding the Fourth Proportional to 920.29, 1,379.53 and 704.77

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Solution

The fourth proportional to 920.29, 1,379.53 and 704.77 is: 1,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.29 : 1,379.53 = 704.77 : x
  2. Step 2: Convert to fraction form
    920.29/1,379.53 = 704.77/x
  3. Step 3: Cross multiply
    920.29x = 1,379.53 × 704.77
  4. Step 4: Simplify right side
    920.29x = 972,251.36
  5. Step 5: Solve for x
    x = 972,251.36/920.29
  6. Step 6: Final answer
    x = 1,056.46

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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.