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Finding the Fourth Proportional to 803.93, 1,109.25 and 472.12

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Solution

The fourth proportional to 803.93, 1,109.25 and 472.12 is: 651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.93 : 1,109.25 = 472.12 : x
  2. Step 2: Convert to fraction form
    803.93/1,109.25 = 472.12/x
  3. Step 3: Cross multiply
    803.93x = 1,109.25 × 472.12
  4. Step 4: Simplify right side
    803.93x = 523,696.34
  5. Step 5: Solve for x
    x = 523,696.34/803.93
  6. Step 6: Final answer
    x = 651.42

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1.5x scale

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.