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Finding the Fourth Proportional to 1,179.58, 1,624.09 and 898.91

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Solution

The fourth proportional to 1,179.58, 1,624.09 and 898.91 is: 1,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.58 : 1,624.09 = 898.91 : x
  2. Step 2: Convert to fraction form
    1,179.58/1,624.09 = 898.91/x
  3. Step 3: Cross multiply
    1,179.58x = 1,624.09 × 898.91
  4. Step 4: Simplify right side
    1,179.58x = 1,459,910.74
  5. Step 5: Solve for x
    x = 1,459,910.74/1,179.58
  6. Step 6: Final answer
    x = 1,237.65

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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.