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Finding the Fourth Proportional to 1,807.90, 2,712 and 767.68

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Solution

The fourth proportional to 1,807.90, 2,712 and 767.68 is: 1,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.90 : 2,712 = 767.68 : x
  2. Step 2: Convert to fraction form
    1,807.90/2,712 = 767.68/x
  3. Step 3: Cross multiply
    1,807.90x = 2,712 × 767.68
  4. Step 4: Simplify right side
    1,807.90x = 2,081,948.16
  5. Step 5: Solve for x
    x = 2,081,948.16/1,807.90
  6. Step 6: Final answer
    x = 1,151.58

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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.