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Finding the Fourth Proportional to 713.01, 983.32 and 464.25

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Solution

The fourth proportional to 713.01, 983.32 and 464.25 is: 640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.01 : 983.32 = 464.25 : x
  2. Step 2: Convert to fraction form
    713.01/983.32 = 464.25/x
  3. Step 3: Cross multiply
    713.01x = 983.32 × 464.25
  4. Step 4: Simplify right side
    713.01x = 456,505.15
  5. Step 5: Solve for x
    x = 456,505.15/713.01
  6. Step 6: Final answer
    x = 640.25

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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.