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Finding the Fourth Proportional to 988.50, 1,482.75 and 411.42

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Solution

The fourth proportional to 988.50, 1,482.75 and 411.42 is: 617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.50 : 1,482.75 = 411.42 : x
  2. Step 2: Convert to fraction form
    988.50/1,482.75 = 411.42/x
  3. Step 3: Cross multiply
    988.50x = 1,482.75 × 411.42
  4. Step 4: Simplify right side
    988.50x = 610,033.01
  5. Step 5: Solve for x
    x = 610,033.01/988.50
  6. Step 6: Final answer
    x = 617.13

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Double scale
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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.