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Finding the Fourth Proportional to 880.30, 1,319.15 and 386.25

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Solution

The fourth proportional to 880.30, 1,319.15 and 386.25 is: 578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.30 : 1,319.15 = 386.25 : x
  2. Step 2: Convert to fraction form
    880.30/1,319.15 = 386.25/x
  3. Step 3: Cross multiply
    880.30x = 1,319.15 × 386.25
  4. Step 4: Simplify right side
    880.30x = 509,521.69
  5. Step 5: Solve for x
    x = 509,521.69/880.30
  6. Step 6: Final answer
    x = 578.80

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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.