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Finding the Fourth Proportional to 713.27, 978.50 and 694.08

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Solution

The fourth proportional to 713.27, 978.50 and 694.08 is: 952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.27 : 978.50 = 694.08 : x
  2. Step 2: Convert to fraction form
    713.27/978.50 = 694.08/x
  3. Step 3: Cross multiply
    713.27x = 978.50 × 694.08
  4. Step 4: Simplify right side
    713.27x = 679,157.28
  5. Step 5: Solve for x
    x = 679,157.28/713.27
  6. Step 6: Final answer
    x = 952.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.