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Finding the Fourth Proportional to 876.45, 1,209.63 and 783.69

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Solution

The fourth proportional to 876.45, 1,209.63 and 783.69 is: 1,081.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.45 : 1,209.63 = 783.69 : x
  2. Step 2: Convert to fraction form
    876.45/1,209.63 = 783.69/x
  3. Step 3: Cross multiply
    876.45x = 1,209.63 × 783.69
  4. Step 4: Simplify right side
    876.45x = 947,974.93
  5. Step 5: Solve for x
    x = 947,974.93/876.45
  6. Step 6: Final answer
    x = 1,081.61

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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.