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Finding the Fourth Proportional to 706.80, 975.80 and 471.08

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Solution

The fourth proportional to 706.80, 975.80 and 471.08 is: 650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.80 : 975.80 = 471.08 : x
  2. Step 2: Convert to fraction form
    706.80/975.80 = 471.08/x
  3. Step 3: Cross multiply
    706.80x = 975.80 × 471.08
  4. Step 4: Simplify right side
    706.80x = 459,679.86
  5. Step 5: Solve for x
    x = 459,679.86/706.80
  6. Step 6: Final answer
    x = 650.37

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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.