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Finding the Fourth Proportional to 783.65, 1,175.45 and 235.84

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Solution

The fourth proportional to 783.65, 1,175.45 and 235.84 is: 353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.65 : 1,175.45 = 235.84 : x
  2. Step 2: Convert to fraction form
    783.65/1,175.45 = 235.84/x
  3. Step 3: Cross multiply
    783.65x = 1,175.45 × 235.84
  4. Step 4: Simplify right side
    783.65x = 277,212.25
  5. Step 5: Solve for x
    x = 277,212.25/783.65
  6. Step 6: Final answer
    x = 353.74

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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.