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Finding the Fourth Proportional to 706.38, 975.62 and 469.91

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Solution

The fourth proportional to 706.38, 975.62 and 469.91 is: 649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.38 : 975.62 = 469.91 : x
  2. Step 2: Convert to fraction form
    706.38/975.62 = 469.91/x
  3. Step 3: Cross multiply
    706.38x = 975.62 × 469.91
  4. Step 4: Simplify right side
    706.38x = 458,456.39
  5. Step 5: Solve for x
    x = 458,456.39/706.38
  6. Step 6: Final answer
    x = 649.03

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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.