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Finding the Fourth Proportional to 1,622.40, 2,434.68 and 636.12

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Solution

The fourth proportional to 1,622.40, 2,434.68 and 636.12 is: 954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.40 : 2,434.68 = 636.12 : x
  2. Step 2: Convert to fraction form
    1,622.40/2,434.68 = 636.12/x
  3. Step 3: Cross multiply
    1,622.40x = 2,434.68 × 636.12
  4. Step 4: Simplify right side
    1,622.40x = 1,548,748.64
  5. Step 5: Solve for x
    x = 1,548,748.64/1,622.40
  6. Step 6: Final answer
    x = 954.60

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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.