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Finding the Fourth Proportional to 712.53, 984.12 and 476.08

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Solution

The fourth proportional to 712.53, 984.12 and 476.08 is: 657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.53 : 984.12 = 476.08 : x
  2. Step 2: Convert to fraction form
    712.53/984.12 = 476.08/x
  3. Step 3: Cross multiply
    712.53x = 984.12 × 476.08
  4. Step 4: Simplify right side
    712.53x = 468,515.60
  5. Step 5: Solve for x
    x = 468,515.60/712.53
  6. Step 6: Final answer
    x = 657.54

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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.