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Finding the Fourth Proportional to 874.76, 1,310.99 and 463.79

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Solution

The fourth proportional to 874.76, 1,310.99 and 463.79 is: 695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.76 : 1,310.99 = 463.79 : x
  2. Step 2: Convert to fraction form
    874.76/1,310.99 = 463.79/x
  3. Step 3: Cross multiply
    874.76x = 1,310.99 × 463.79
  4. Step 4: Simplify right side
    874.76x = 608,015.18
  5. Step 5: Solve for x
    x = 608,015.18/874.76
  6. Step 6: Final answer
    x = 695.07

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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.