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Finding the Fourth Proportional to 706.78, 975.99 and 458.50

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Solution

The fourth proportional to 706.78, 975.99 and 458.50 is: 633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.78 : 975.99 = 458.50 : x
  2. Step 2: Convert to fraction form
    706.78/975.99 = 458.50/x
  3. Step 3: Cross multiply
    706.78x = 975.99 × 458.50
  4. Step 4: Simplify right side
    706.78x = 447,491.42
  5. Step 5: Solve for x
    x = 447,491.42/706.78
  6. Step 6: Final answer
    x = 633.14

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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.