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Finding the Fourth Proportional to 704.36, 1,056.54 and 265.65

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Solution

The fourth proportional to 704.36, 1,056.54 and 265.65 is: 398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.36 : 1,056.54 = 265.65 : x
  2. Step 2: Convert to fraction form
    704.36/1,056.54 = 265.65/x
  3. Step 3: Cross multiply
    704.36x = 1,056.54 × 265.65
  4. Step 4: Simplify right side
    704.36x = 280,669.85
  5. Step 5: Solve for x
    x = 280,669.85/704.36
  6. Step 6: Final answer
    x = 398.48

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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.