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Finding the Fourth Proportional to 1,281.29, 1,768.01 and 784.08

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Solution

The fourth proportional to 1,281.29, 1,768.01 and 784.08 is: 1,081.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.29 : 1,768.01 = 784.08 : x
  2. Step 2: Convert to fraction form
    1,281.29/1,768.01 = 784.08/x
  3. Step 3: Cross multiply
    1,281.29x = 1,768.01 × 784.08
  4. Step 4: Simplify right side
    1,281.29x = 1,386,257.36
  5. Step 5: Solve for x
    x = 1,386,257.36/1,281.29
  6. Step 6: Final answer
    x = 1,081.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.