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Finding the Fourth Proportional to 783.50, 1,175.27 and 296.78

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Solution

The fourth proportional to 783.50, 1,175.27 and 296.78 is: 445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.50 : 1,175.27 = 296.78 : x
  2. Step 2: Convert to fraction form
    783.50/1,175.27 = 296.78/x
  3. Step 3: Cross multiply
    783.50x = 1,175.27 × 296.78
  4. Step 4: Simplify right side
    783.50x = 348,796.63
  5. Step 5: Solve for x
    x = 348,796.63/783.50
  6. Step 6: Final answer
    x = 445.18

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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.