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Finding the Fourth Proportional to 712.77, 982.64 and 476.75

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Solution

The fourth proportional to 712.77, 982.64 and 476.75 is: 657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.77 : 982.64 = 476.75 : x
  2. Step 2: Convert to fraction form
    712.77/982.64 = 476.75/x
  3. Step 3: Cross multiply
    712.77x = 982.64 × 476.75
  4. Step 4: Simplify right side
    712.77x = 468,473.62
  5. Step 5: Solve for x
    x = 468,473.62/712.77
  6. Step 6: Final answer
    x = 657.26

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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.