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Finding the Fourth Proportional to 803.04, 1,107.52 and 492.64

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Solution

The fourth proportional to 803.04, 1,107.52 and 492.64 is: 679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.04 : 1,107.52 = 492.64 : x
  2. Step 2: Convert to fraction form
    803.04/1,107.52 = 492.64/x
  3. Step 3: Cross multiply
    803.04x = 1,107.52 × 492.64
  4. Step 4: Simplify right side
    803.04x = 545,608.65
  5. Step 5: Solve for x
    x = 545,608.65/803.04
  6. Step 6: Final answer
    x = 679.43

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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.