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Finding the Fourth Proportional to 880.80, 1,320.56 and 448.16

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Solution

The fourth proportional to 880.80, 1,320.56 and 448.16 is: 671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.80 : 1,320.56 = 448.16 : x
  2. Step 2: Convert to fraction form
    880.80/1,320.56 = 448.16/x
  3. Step 3: Cross multiply
    880.80x = 1,320.56 × 448.16
  4. Step 4: Simplify right side
    880.80x = 591,822.17
  5. Step 5: Solve for x
    x = 591,822.17/880.80
  6. Step 6: Final answer
    x = 671.91

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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.