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Finding the Fourth Proportional to 713.19, 983.99 and 464.87

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Solution

The fourth proportional to 713.19, 983.99 and 464.87 is: 641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.19 : 983.99 = 464.87 : x
  2. Step 2: Convert to fraction form
    713.19/983.99 = 464.87/x
  3. Step 3: Cross multiply
    713.19x = 983.99 × 464.87
  4. Step 4: Simplify right side
    713.19x = 457,427.43
  5. Step 5: Solve for x
    x = 457,427.43/713.19
  6. Step 6: Final answer
    x = 641.38

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Double scale
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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.