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Finding the Fourth Proportional to 660.49, 988.98 and 614.05

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Solution

The fourth proportional to 660.49, 988.98 and 614.05 is: 919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.49 : 988.98 = 614.05 : x
  2. Step 2: Convert to fraction form
    660.49/988.98 = 614.05/x
  3. Step 3: Cross multiply
    660.49x = 988.98 × 614.05
  4. Step 4: Simplify right side
    660.49x = 607,283.17
  5. Step 5: Solve for x
    x = 607,283.17/660.49
  6. Step 6: Final answer
    x = 919.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.