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Finding the Fourth Proportional to 968.71, 1,336.94 and 614.80

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Solution

The fourth proportional to 968.71, 1,336.94 and 614.80 is: 848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.71 : 1,336.94 = 614.80 : x
  2. Step 2: Convert to fraction form
    968.71/1,336.94 = 614.80/x
  3. Step 3: Cross multiply
    968.71x = 1,336.94 × 614.80
  4. Step 4: Simplify right side
    968.71x = 821,950.71
  5. Step 5: Solve for x
    x = 821,950.71/968.71
  6. Step 6: Final answer
    x = 848.50

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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.