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Finding the Fourth Proportional to 874.84, 1,309.32 and 478.98

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Solution

The fourth proportional to 874.84, 1,309.32 and 478.98 is: 716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.84 : 1,309.32 = 478.98 : x
  2. Step 2: Convert to fraction form
    874.84/1,309.32 = 478.98/x
  3. Step 3: Cross multiply
    874.84x = 1,309.32 × 478.98
  4. Step 4: Simplify right side
    874.84x = 627,138.09
  5. Step 5: Solve for x
    x = 627,138.09/874.84
  6. Step 6: Final answer
    x = 716.86

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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.