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Finding the Fourth Proportional to 880.09, 1,319.68 and 386.30

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Solution

The fourth proportional to 880.09, 1,319.68 and 386.30 is: 579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.09 : 1,319.68 = 386.30 : x
  2. Step 2: Convert to fraction form
    880.09/1,319.68 = 386.30/x
  3. Step 3: Cross multiply
    880.09x = 1,319.68 × 386.30
  4. Step 4: Simplify right side
    880.09x = 509,785.79
  5. Step 5: Solve for x
    x = 509,785.79/880.09
  6. Step 6: Final answer
    x = 579.24

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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.