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Finding the Fourth Proportional to 1,767.28, 2,651.07 and 468.75

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Solution

The fourth proportional to 1,767.28, 2,651.07 and 468.75 is: 703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.28 : 2,651.07 = 468.75 : x
  2. Step 2: Convert to fraction form
    1,767.28/2,651.07 = 468.75/x
  3. Step 3: Cross multiply
    1,767.28x = 2,651.07 × 468.75
  4. Step 4: Simplify right side
    1,767.28x = 1,242,689.06
  5. Step 5: Solve for x
    x = 1,242,689.06/1,767.28
  6. Step 6: Final answer
    x = 703.16

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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.