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Finding the Fourth Proportional to 688.53, 948.75 and 614.06

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Solution

The fourth proportional to 688.53, 948.75 and 614.06 is: 846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.53 : 948.75 = 614.06 : x
  2. Step 2: Convert to fraction form
    688.53/948.75 = 614.06/x
  3. Step 3: Cross multiply
    688.53x = 948.75 × 614.06
  4. Step 4: Simplify right side
    688.53x = 582,584.68
  5. Step 5: Solve for x
    x = 582,584.68/688.53
  6. Step 6: Final answer
    x = 846.13

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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.