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Finding the Fourth Proportional to 886.84, 1,331.23 and 517.05

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Solution

The fourth proportional to 886.84, 1,331.23 and 517.05 is: 776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.84 : 1,331.23 = 517.05 : x
  2. Step 2: Convert to fraction form
    886.84/1,331.23 = 517.05/x
  3. Step 3: Cross multiply
    886.84x = 1,331.23 × 517.05
  4. Step 4: Simplify right side
    886.84x = 688,311.18
  5. Step 5: Solve for x
    x = 688,311.18/886.84
  6. Step 6: Final answer
    x = 776.14

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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.