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Finding the Fourth Proportional to 803.12, 1,203.12 and 438.08

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Solution

The fourth proportional to 803.12, 1,203.12 and 438.08 is: 656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.12 : 1,203.12 = 438.08 : x
  2. Step 2: Convert to fraction form
    803.12/1,203.12 = 438.08/x
  3. Step 3: Cross multiply
    803.12x = 1,203.12 × 438.08
  4. Step 4: Simplify right side
    803.12x = 527,056.79
  5. Step 5: Solve for x
    x = 527,056.79/803.12
  6. Step 6: Final answer
    x = 656.27

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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.