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Finding the Fourth Proportional to 706.98, 975.48 and 412.20

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Solution

The fourth proportional to 706.98, 975.48 and 412.20 is: 568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.98 : 975.48 = 412.20 : x
  2. Step 2: Convert to fraction form
    706.98/975.48 = 412.20/x
  3. Step 3: Cross multiply
    706.98x = 975.48 × 412.20
  4. Step 4: Simplify right side
    706.98x = 402,092.86
  5. Step 5: Solve for x
    x = 402,092.86/706.98
  6. Step 6: Final answer
    x = 568.75

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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.