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Finding the Fourth Proportional to 1,621.88, 2,433.64 and 756.08

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Solution

The fourth proportional to 1,621.88, 2,433.64 and 756.08 is: 1,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.88 : 2,433.64 = 756.08 : x
  2. Step 2: Convert to fraction form
    1,621.88/2,433.64 = 756.08/x
  3. Step 3: Cross multiply
    1,621.88x = 2,433.64 × 756.08
  4. Step 4: Simplify right side
    1,621.88x = 1,840,026.53
  5. Step 5: Solve for x
    x = 1,840,026.53/1,621.88
  6. Step 6: Final answer
    x = 1,134.50

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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.