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Finding the Fourth Proportional to 803.98, 1,206.33 and 438.22

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Solution

The fourth proportional to 803.98, 1,206.33 and 438.22 is: 657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.98 : 1,206.33 = 438.22 : x
  2. Step 2: Convert to fraction form
    803.98/1,206.33 = 438.22/x
  3. Step 3: Cross multiply
    803.98x = 1,206.33 × 438.22
  4. Step 4: Simplify right side
    803.98x = 528,637.93
  5. Step 5: Solve for x
    x = 528,637.93/803.98
  6. Step 6: Final answer
    x = 657.53

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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.