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Finding the Fourth Proportional to 800.64, 1,203.12 and 454.50

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Solution

The fourth proportional to 800.64, 1,203.12 and 454.50 is: 682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.64 : 1,203.12 = 454.50 : x
  2. Step 2: Convert to fraction form
    800.64/1,203.12 = 454.50/x
  3. Step 3: Cross multiply
    800.64x = 1,203.12 × 454.50
  4. Step 4: Simplify right side
    800.64x = 546,818.04
  5. Step 5: Solve for x
    x = 546,818.04/800.64
  6. Step 6: Final answer
    x = 682.98

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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.