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Finding the Fourth Proportional to 1,653.11, 2,478.31 and 612.45

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Solution

The fourth proportional to 1,653.11, 2,478.31 and 612.45 is: 918.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.11 : 2,478.31 = 612.45 : x
  2. Step 2: Convert to fraction form
    1,653.11/2,478.31 = 612.45/x
  3. Step 3: Cross multiply
    1,653.11x = 2,478.31 × 612.45
  4. Step 4: Simplify right side
    1,653.11x = 1,517,840.96
  5. Step 5: Solve for x
    x = 1,517,840.96/1,653.11
  6. Step 6: Final answer
    x = 918.17

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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.