Home / 1,196.91-1,795.57-547.70

Finding the Fourth Proportional to 1,196.91, 1,795.57 and 547.70

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Solution

The fourth proportional to 1,196.91, 1,795.57 and 547.70 is: 821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.91 : 1,795.57 = 547.70 : x
  2. Step 2: Convert to fraction form
    1,196.91/1,795.57 = 547.70/x
  3. Step 3: Cross multiply
    1,196.91x = 1,795.57 × 547.70
  4. Step 4: Simplify right side
    1,196.91x = 983,423.34
  5. Step 5: Solve for x
    x = 983,423.34/1,196.91
  6. Step 6: Final answer
    x = 821.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.