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Finding the Fourth Proportional to 783.84, 1,175.88 and 236.20

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Solution

The fourth proportional to 783.84, 1,175.88 and 236.20 is: 354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.84 : 1,175.88 = 236.20 : x
  2. Step 2: Convert to fraction form
    783.84/1,175.88 = 236.20/x
  3. Step 3: Cross multiply
    783.84x = 1,175.88 × 236.20
  4. Step 4: Simplify right side
    783.84x = 277,742.86
  5. Step 5: Solve for x
    x = 277,742.86/783.84
  6. Step 6: Final answer
    x = 354.34

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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.