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Finding the Fourth Proportional to 706.77, 975.68 and 471.11

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Solution

The fourth proportional to 706.77, 975.68 and 471.11 is: 650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.77 : 975.68 = 471.11 : x
  2. Step 2: Convert to fraction form
    706.77/975.68 = 471.11/x
  3. Step 3: Cross multiply
    706.77x = 975.68 × 471.11
  4. Step 4: Simplify right side
    706.77x = 459,652.60
  5. Step 5: Solve for x
    x = 459,652.60/706.77
  6. Step 6: Final answer
    x = 650.36

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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.