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Finding the Fourth Proportional to 988.52, 1,482.74 and 411.38

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Solution

The fourth proportional to 988.52, 1,482.74 and 411.38 is: 617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.52 : 1,482.74 = 411.38 : x
  2. Step 2: Convert to fraction form
    988.52/1,482.74 = 411.38/x
  3. Step 3: Cross multiply
    988.52x = 1,482.74 × 411.38
  4. Step 4: Simplify right side
    988.52x = 609,963.20
  5. Step 5: Solve for x
    x = 609,963.20/988.52
  6. Step 6: Final answer
    x = 617.05

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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.