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Finding the Fourth Proportional to 783.49, 1,174.61 and 296.27

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Solution

The fourth proportional to 783.49, 1,174.61 and 296.27 is: 444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.49 : 1,174.61 = 296.27 : x
  2. Step 2: Convert to fraction form
    783.49/1,174.61 = 296.27/x
  3. Step 3: Cross multiply
    783.49x = 1,174.61 × 296.27
  4. Step 4: Simplify right side
    783.49x = 348,000.22
  5. Step 5: Solve for x
    x = 348,000.22/783.49
  6. Step 6: Final answer
    x = 444.17

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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.