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Finding the Fourth Proportional to 706.96, 975.42 and 458.32

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Solution

The fourth proportional to 706.96, 975.42 and 458.32 is: 632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.96 : 975.42 = 458.32 : x
  2. Step 2: Convert to fraction form
    706.96/975.42 = 458.32/x
  3. Step 3: Cross multiply
    706.96x = 975.42 × 458.32
  4. Step 4: Simplify right side
    706.96x = 447,054.49
  5. Step 5: Solve for x
    x = 447,054.49/706.96
  6. Step 6: Final answer
    x = 632.36

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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.