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Finding the Fourth Proportional to 704.30, 1,055.84 and 415.13

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Solution

The fourth proportional to 704.30, 1,055.84 and 415.13 is: 622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.30 : 1,055.84 = 415.13 : x
  2. Step 2: Convert to fraction form
    704.30/1,055.84 = 415.13/x
  3. Step 3: Cross multiply
    704.30x = 1,055.84 × 415.13
  4. Step 4: Simplify right side
    704.30x = 438,303.50
  5. Step 5: Solve for x
    x = 438,303.50/704.30
  6. Step 6: Final answer
    x = 622.33

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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.