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Finding the Fourth Proportional to 988.76, 1,482.84 and 411.50

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Solution

The fourth proportional to 988.76, 1,482.84 and 411.50 is: 617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.76 : 1,482.84 = 411.50 : x
  2. Step 2: Convert to fraction form
    988.76/1,482.84 = 411.50/x
  3. Step 3: Cross multiply
    988.76x = 1,482.84 × 411.50
  4. Step 4: Simplify right side
    988.76x = 610,188.66
  5. Step 5: Solve for x
    x = 610,188.66/988.76
  6. Step 6: Final answer
    x = 617.13

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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.