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Finding the Fourth Proportional to 988.42, 1,482.81 and 411.25

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Solution

The fourth proportional to 988.42, 1,482.81 and 411.25 is: 616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.42 : 1,482.81 = 411.25 : x
  2. Step 2: Convert to fraction form
    988.42/1,482.81 = 411.25/x
  3. Step 3: Cross multiply
    988.42x = 1,482.81 × 411.25
  4. Step 4: Simplify right side
    988.42x = 609,805.61
  5. Step 5: Solve for x
    x = 609,805.61/988.42
  6. Step 6: Final answer
    x = 616.95

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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.