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Finding the Fourth Proportional to 1,612.15, 2,418.51 and 638.26

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Solution

The fourth proportional to 1,612.15, 2,418.51 and 638.26 is: 957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.15 : 2,418.51 = 638.26 : x
  2. Step 2: Convert to fraction form
    1,612.15/2,418.51 = 638.26/x
  3. Step 3: Cross multiply
    1,612.15x = 2,418.51 × 638.26
  4. Step 4: Simplify right side
    1,612.15x = 1,543,638.19
  5. Step 5: Solve for x
    x = 1,543,638.19/1,612.15
  6. Step 6: Final answer
    x = 957.50

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1.5x scale

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.