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Finding the Fourth Proportional to 880.75, 1,320.87 and 418.07

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Solution

The fourth proportional to 880.75, 1,320.87 and 418.07 is: 626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.75 : 1,320.87 = 418.07 : x
  2. Step 2: Convert to fraction form
    880.75/1,320.87 = 418.07/x
  3. Step 3: Cross multiply
    880.75x = 1,320.87 × 418.07
  4. Step 4: Simplify right side
    880.75x = 552,214.03
  5. Step 5: Solve for x
    x = 552,214.03/880.75
  6. Step 6: Final answer
    x = 626.98

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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.