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Finding the Fourth Proportional to 783.57, 1,175.37 and 235.77

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Solution

The fourth proportional to 783.57, 1,175.37 and 235.77 is: 353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.57 : 1,175.37 = 235.77 : x
  2. Step 2: Convert to fraction form
    783.57/1,175.37 = 235.77/x
  3. Step 3: Cross multiply
    783.57x = 1,175.37 × 235.77
  4. Step 4: Simplify right side
    783.57x = 277,111.69
  5. Step 5: Solve for x
    x = 277,111.69/783.57
  6. Step 6: Final answer
    x = 353.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.