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Finding the Fourth Proportional to 706.80, 975.69 and 471.15

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Solution

The fourth proportional to 706.80, 975.69 and 471.15 is: 650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.80 : 975.69 = 471.15 : x
  2. Step 2: Convert to fraction form
    706.80/975.69 = 471.15/x
  3. Step 3: Cross multiply
    706.80x = 975.69 × 471.15
  4. Step 4: Simplify right side
    706.80x = 459,696.34
  5. Step 5: Solve for x
    x = 459,696.34/706.80
  6. Step 6: Final answer
    x = 650.39

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1.5x scale

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.