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Finding the Fourth Proportional to 783.13, 1,174.47 and 235.16

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Solution

The fourth proportional to 783.13, 1,174.47 and 235.16 is: 352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.13 : 1,174.47 = 235.16 : x
  2. Step 2: Convert to fraction form
    783.13/1,174.47 = 235.16/x
  3. Step 3: Cross multiply
    783.13x = 1,174.47 × 235.16
  4. Step 4: Simplify right side
    783.13x = 276,192.62
  5. Step 5: Solve for x
    x = 276,192.62/783.13
  6. Step 6: Final answer
    x = 352.68

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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.