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Finding the Fourth Proportional to 704.54, 1,055.80 and 643.05

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Solution

The fourth proportional to 704.54, 1,055.80 and 643.05 is: 963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.54 : 1,055.80 = 643.05 : x
  2. Step 2: Convert to fraction form
    704.54/1,055.80 = 643.05/x
  3. Step 3: Cross multiply
    704.54x = 1,055.80 × 643.05
  4. Step 4: Simplify right side
    704.54x = 678,932.19
  5. Step 5: Solve for x
    x = 678,932.19/704.54
  6. Step 6: Final answer
    x = 963.65

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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.