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Finding the Fourth Proportional to 1,651.75, 2,478.60 and 612.48

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Solution

The fourth proportional to 1,651.75, 2,478.60 and 612.48 is: 919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.75 : 2,478.60 = 612.48 : x
  2. Step 2: Convert to fraction form
    1,651.75/2,478.60 = 612.48/x
  3. Step 3: Cross multiply
    1,651.75x = 2,478.60 × 612.48
  4. Step 4: Simplify right side
    1,651.75x = 1,518,092.93
  5. Step 5: Solve for x
    x = 1,518,092.93/1,651.75
  6. Step 6: Final answer
    x = 919.08

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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.