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Finding the Fourth Proportional to 803.64, 1,205.73 and 438.23

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Solution

The fourth proportional to 803.64, 1,205.73 and 438.23 is: 657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.64 : 1,205.73 = 438.23 : x
  2. Step 2: Convert to fraction form
    803.64/1,205.73 = 438.23/x
  3. Step 3: Cross multiply
    803.64x = 1,205.73 × 438.23
  4. Step 4: Simplify right side
    803.64x = 528,387.06
  5. Step 5: Solve for x
    x = 528,387.06/803.64
  6. Step 6: Final answer
    x = 657.49

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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.