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Finding the Fourth Proportional to 803.14, 1,204.71 and 478.33

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Solution

The fourth proportional to 803.14, 1,204.71 and 478.33 is: 717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.14 : 1,204.71 = 478.33 : x
  2. Step 2: Convert to fraction form
    803.14/1,204.71 = 478.33/x
  3. Step 3: Cross multiply
    803.14x = 1,204.71 × 478.33
  4. Step 4: Simplify right side
    803.14x = 576,248.93
  5. Step 5: Solve for x
    x = 576,248.93/803.14
  6. Step 6: Final answer
    x = 717.50

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Double scale
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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.