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Finding the Fourth Proportional to 874.89, 1,310.77 and 463.12

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Solution

The fourth proportional to 874.89, 1,310.77 and 463.12 is: 693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.89 : 1,310.77 = 463.12 : x
  2. Step 2: Convert to fraction form
    874.89/1,310.77 = 463.12/x
  3. Step 3: Cross multiply
    874.89x = 1,310.77 × 463.12
  4. Step 4: Simplify right side
    874.89x = 607,043.80
  5. Step 5: Solve for x
    x = 607,043.80/874.89
  6. Step 6: Final answer
    x = 693.85

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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.