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Finding the Fourth Proportional to 1,653.11, 2,478.09 and 612.84

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Solution

The fourth proportional to 1,653.11, 2,478.09 and 612.84 is: 918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.11 : 2,478.09 = 612.84 : x
  2. Step 2: Convert to fraction form
    1,653.11/2,478.09 = 612.84/x
  3. Step 3: Cross multiply
    1,653.11x = 2,478.09 × 612.84
  4. Step 4: Simplify right side
    1,653.11x = 1,518,677.30
  5. Step 5: Solve for x
    x = 1,518,677.30/1,653.11
  6. Step 6: Final answer
    x = 918.68

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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.