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Finding the Fourth Proportional to 707.14, 975.84 and 396.64

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Solution

The fourth proportional to 707.14, 975.84 and 396.64 is: 547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.14 : 975.84 = 396.64 : x
  2. Step 2: Convert to fraction form
    707.14/975.84 = 396.64/x
  3. Step 3: Cross multiply
    707.14x = 975.84 × 396.64
  4. Step 4: Simplify right side
    707.14x = 387,052.30
  5. Step 5: Solve for x
    x = 387,052.30/707.14
  6. Step 6: Final answer
    x = 547.35

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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.