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Finding the Fourth Proportional to 1,346.60, 2,020.80 and 615.80

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Solution

The fourth proportional to 1,346.60, 2,020.80 and 615.80 is: 924.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.60 : 2,020.80 = 615.80 : x
  2. Step 2: Convert to fraction form
    1,346.60/2,020.80 = 615.80/x
  3. Step 3: Cross multiply
    1,346.60x = 2,020.80 × 615.80
  4. Step 4: Simplify right side
    1,346.60x = 1,244,408.64
  5. Step 5: Solve for x
    x = 1,244,408.64/1,346.60
  6. Step 6: Final answer
    x = 924.11

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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.