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Finding the Fourth Proportional to 705.00, 972.96 and 425.22

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Solution

The fourth proportional to 705.00, 972.96 and 425.22 is: 586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.00 : 972.96 = 425.22 : x
  2. Step 2: Convert to fraction form
    705.00/972.96 = 425.22/x
  3. Step 3: Cross multiply
    705.00x = 972.96 × 425.22
  4. Step 4: Simplify right side
    705.00x = 413,717.19
  5. Step 5: Solve for x
    x = 413,717.19/705.00
  6. Step 6: Final answer
    x = 586.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.