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Finding the Fourth Proportional to 783.70, 1,174.95 and 475.48

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Solution

The fourth proportional to 783.70, 1,174.95 and 475.48 is: 712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.70 : 1,174.95 = 475.48 : x
  2. Step 2: Convert to fraction form
    783.70/1,174.95 = 475.48/x
  3. Step 3: Cross multiply
    783.70x = 1,174.95 × 475.48
  4. Step 4: Simplify right side
    783.70x = 558,659.35
  5. Step 5: Solve for x
    x = 558,659.35/783.70
  6. Step 6: Final answer
    x = 712.85

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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.