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Finding the Fourth Proportional to 876.07, 1,208.55 and 580.96

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Solution

The fourth proportional to 876.07, 1,208.55 and 580.96 is: 801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.07 : 1,208.55 = 580.96 : x
  2. Step 2: Convert to fraction form
    876.07/1,208.55 = 580.96/x
  3. Step 3: Cross multiply
    876.07x = 1,208.55 × 580.96
  4. Step 4: Simplify right side
    876.07x = 702,119.21
  5. Step 5: Solve for x
    x = 702,119.21/876.07
  6. Step 6: Final answer
    x = 801.44

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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.