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Finding the Fourth Proportional to 1,435.39, 2,151.02 and 613.44

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Solution

The fourth proportional to 1,435.39, 2,151.02 and 613.44 is: 919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.39 : 2,151.02 = 613.44 : x
  2. Step 2: Convert to fraction form
    1,435.39/2,151.02 = 613.44/x
  3. Step 3: Cross multiply
    1,435.39x = 2,151.02 × 613.44
  4. Step 4: Simplify right side
    1,435.39x = 1,319,523.24
  5. Step 5: Solve for x
    x = 1,319,523.24/1,435.39
  6. Step 6: Final answer
    x = 919.28

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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.