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Finding the Fourth Proportional to 704.70, 1,055.43 and 415.53

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Solution

The fourth proportional to 704.70, 1,055.43 and 415.53 is: 622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.70 : 1,055.43 = 415.53 : x
  2. Step 2: Convert to fraction form
    704.70/1,055.43 = 415.53/x
  3. Step 3: Cross multiply
    704.70x = 1,055.43 × 415.53
  4. Step 4: Simplify right side
    704.70x = 438,562.83
  5. Step 5: Solve for x
    x = 438,562.83/704.70
  6. Step 6: Final answer
    x = 622.34

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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.