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Finding the Fourth Proportional to 1,651.61, 2,478.66 and 612.59

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Solution

The fourth proportional to 1,651.61, 2,478.66 and 612.59 is: 919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.61 : 2,478.66 = 612.59 : x
  2. Step 2: Convert to fraction form
    1,651.61/2,478.66 = 612.59/x
  3. Step 3: Cross multiply
    1,651.61x = 2,478.66 × 612.59
  4. Step 4: Simplify right side
    1,651.61x = 1,518,389.94
  5. Step 5: Solve for x
    x = 1,518,389.94/1,651.61
  6. Step 6: Final answer
    x = 919.34

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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.