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Finding the Fourth Proportional to 1,340.17, 2,007.75 and 790.72

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Solution

The fourth proportional to 1,340.17, 2,007.75 and 790.72 is: 1,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.17 : 2,007.75 = 790.72 : x
  2. Step 2: Convert to fraction form
    1,340.17/2,007.75 = 790.72/x
  3. Step 3: Cross multiply
    1,340.17x = 2,007.75 × 790.72
  4. Step 4: Simplify right side
    1,340.17x = 1,587,558.04
  5. Step 5: Solve for x
    x = 1,587,558.04/1,340.17
  6. Step 6: Final answer
    x = 1,184.60

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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.