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Finding the Fourth Proportional to 1,767.90, 2,651 and 535.08

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Solution

The fourth proportional to 1,767.90, 2,651 and 535.08 is: 802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.90 : 2,651 = 535.08 : x
  2. Step 2: Convert to fraction form
    1,767.90/2,651 = 535.08/x
  3. Step 3: Cross multiply
    1,767.90x = 2,651 × 535.08
  4. Step 4: Simplify right side
    1,767.90x = 1,418,497.08
  5. Step 5: Solve for x
    x = 1,418,497.08/1,767.90
  6. Step 6: Final answer
    x = 802.36

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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.