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Finding the Fourth Proportional to 713.57, 984.12 and 464.82

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Solution

The fourth proportional to 713.57, 984.12 and 464.82 is: 641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.57 : 984.12 = 464.82 : x
  2. Step 2: Convert to fraction form
    713.57/984.12 = 464.82/x
  3. Step 3: Cross multiply
    713.57x = 984.12 × 464.82
  4. Step 4: Simplify right side
    713.57x = 457,438.66
  5. Step 5: Solve for x
    x = 457,438.66/713.57
  6. Step 6: Final answer
    x = 641.06

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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.