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Finding the Fourth Proportional to 988.26, 1,363.95 and 615.30

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Solution

The fourth proportional to 988.26, 1,363.95 and 615.30 is: 849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.26 : 1,363.95 = 615.30 : x
  2. Step 2: Convert to fraction form
    988.26/1,363.95 = 615.30/x
  3. Step 3: Cross multiply
    988.26x = 1,363.95 × 615.30
  4. Step 4: Simplify right side
    988.26x = 839,238.44
  5. Step 5: Solve for x
    x = 839,238.44/988.26
  6. Step 6: Final answer
    x = 849.21

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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.