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Finding the Fourth Proportional to 1,101.65, 1,653.71 and 452.84

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Solution

The fourth proportional to 1,101.65, 1,653.71 and 452.84 is: 679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.65 : 1,653.71 = 452.84 : x
  2. Step 2: Convert to fraction form
    1,101.65/1,653.71 = 452.84/x
  3. Step 3: Cross multiply
    1,101.65x = 1,653.71 × 452.84
  4. Step 4: Simplify right side
    1,101.65x = 748,855.50
  5. Step 5: Solve for x
    x = 748,855.50/1,101.65
  6. Step 6: Final answer
    x = 679.76

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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.