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Finding the Fourth Proportional to 876.96, 1,208.88 and 581.58

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Solution

The fourth proportional to 876.96, 1,208.88 and 581.58 is: 801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.96 : 1,208.88 = 581.58 : x
  2. Step 2: Convert to fraction form
    876.96/1,208.88 = 581.58/x
  3. Step 3: Cross multiply
    876.96x = 1,208.88 × 581.58
  4. Step 4: Simplify right side
    876.96x = 703,060.43
  5. Step 5: Solve for x
    x = 703,060.43/876.96
  6. Step 6: Final answer
    x = 801.70

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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.