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Finding the Fourth Proportional to 803.39, 1,108.71 and 454.07

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Solution

The fourth proportional to 803.39, 1,108.71 and 454.07 is: 626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.39 : 1,108.71 = 454.07 : x
  2. Step 2: Convert to fraction form
    803.39/1,108.71 = 454.07/x
  3. Step 3: Cross multiply
    803.39x = 1,108.71 × 454.07
  4. Step 4: Simplify right side
    803.39x = 503,434.72
  5. Step 5: Solve for x
    x = 503,434.72/803.39
  6. Step 6: Final answer
    x = 626.64

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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.