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Finding the Fourth Proportional to 783.97, 1,175.94 and 373.43

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Solution

The fourth proportional to 783.97, 1,175.94 and 373.43 is: 560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.97 : 1,175.94 = 373.43 : x
  2. Step 2: Convert to fraction form
    783.97/1,175.94 = 373.43/x
  3. Step 3: Cross multiply
    783.97x = 1,175.94 × 373.43
  4. Step 4: Simplify right side
    783.97x = 439,134.21
  5. Step 5: Solve for x
    x = 439,134.21/783.97
  6. Step 6: Final answer
    x = 560.14

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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.