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Finding the Fourth Proportional to 704.51, 1,055.03 and 411.24

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Solution

The fourth proportional to 704.51, 1,055.03 and 411.24 is: 615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.51 : 1,055.03 = 411.24 : x
  2. Step 2: Convert to fraction form
    704.51/1,055.03 = 411.24/x
  3. Step 3: Cross multiply
    704.51x = 1,055.03 × 411.24
  4. Step 4: Simplify right side
    704.51x = 433,872.44
  5. Step 5: Solve for x
    x = 433,872.44/704.51
  6. Step 6: Final answer
    x = 615.85

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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.