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Finding the Fourth Proportional to 704.05, 1,054.72 and 429.33

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Solution

The fourth proportional to 704.05, 1,054.72 and 429.33 is: 643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.05 : 1,054.72 = 429.33 : x
  2. Step 2: Convert to fraction form
    704.05/1,054.72 = 429.33/x
  3. Step 3: Cross multiply
    704.05x = 1,054.72 × 429.33
  4. Step 4: Simplify right side
    704.05x = 452,822.94
  5. Step 5: Solve for x
    x = 452,822.94/704.05
  6. Step 6: Final answer
    x = 643.17

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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.