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Finding the Fourth Proportional to 707.35, 975.94 and 458.82

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Solution

The fourth proportional to 707.35, 975.94 and 458.82 is: 633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.35 : 975.94 = 458.82 : x
  2. Step 2: Convert to fraction form
    707.35/975.94 = 458.82/x
  3. Step 3: Cross multiply
    707.35x = 975.94 × 458.82
  4. Step 4: Simplify right side
    707.35x = 447,780.79
  5. Step 5: Solve for x
    x = 447,780.79/707.35
  6. Step 6: Final answer
    x = 633.04

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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.