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Finding the Fourth Proportional to 704.29, 1,056.25 and 210.58

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Solution

The fourth proportional to 704.29, 1,056.25 and 210.58 is: 315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.29 : 1,056.25 = 210.58 : x
  2. Step 2: Convert to fraction form
    704.29/1,056.25 = 210.58/x
  3. Step 3: Cross multiply
    704.29x = 1,056.25 × 210.58
  4. Step 4: Simplify right side
    704.29x = 222,425.13
  5. Step 5: Solve for x
    x = 222,425.13/704.29
  6. Step 6: Final answer
    x = 315.81

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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.