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Finding the Fourth Proportional to 801.35, 1,202.15 and 307.74

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Solution

The fourth proportional to 801.35, 1,202.15 and 307.74 is: 461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.35 : 1,202.15 = 307.74 : x
  2. Step 2: Convert to fraction form
    801.35/1,202.15 = 307.74/x
  3. Step 3: Cross multiply
    801.35x = 1,202.15 × 307.74
  4. Step 4: Simplify right side
    801.35x = 369,943.63
  5. Step 5: Solve for x
    x = 369,943.63/801.35
  6. Step 6: Final answer
    x = 461.65

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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.