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Finding the Fourth Proportional to 1,540.40, 2,310.64 and 386.16

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Solution

The fourth proportional to 1,540.40, 2,310.64 and 386.16 is: 579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.40 : 2,310.64 = 386.16 : x
  2. Step 2: Convert to fraction form
    1,540.40/2,310.64 = 386.16/x
  3. Step 3: Cross multiply
    1,540.40x = 2,310.64 × 386.16
  4. Step 4: Simplify right side
    1,540.40x = 892,276.74
  5. Step 5: Solve for x
    x = 892,276.74/1,540.40
  6. Step 6: Final answer
    x = 579.25

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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.