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Finding the Fourth Proportional to 712.30, 982.82 and 476.58

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Solution

The fourth proportional to 712.30, 982.82 and 476.58 is: 657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.30 : 982.82 = 476.58 : x
  2. Step 2: Convert to fraction form
    712.30/982.82 = 476.58/x
  3. Step 3: Cross multiply
    712.30x = 982.82 × 476.58
  4. Step 4: Simplify right side
    712.30x = 468,392.36
  5. Step 5: Solve for x
    x = 468,392.36/712.30
  6. Step 6: Final answer
    x = 657.58

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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.