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Finding the Fourth Proportional to 713.14, 983.81 and 464.40

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Solution

The fourth proportional to 713.14, 983.81 and 464.40 is: 640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.14 : 983.81 = 464.40 : x
  2. Step 2: Convert to fraction form
    713.14/983.81 = 464.40/x
  3. Step 3: Cross multiply
    713.14x = 983.81 × 464.40
  4. Step 4: Simplify right side
    713.14x = 456,882.53
  5. Step 5: Solve for x
    x = 456,882.53/713.14
  6. Step 6: Final answer
    x = 640.67

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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.